diff --git a/resources/functionMap.php b/resources/functionMap.php
index 82789aea05..de1739df30 100644
--- a/resources/functionMap.php
+++ b/resources/functionMap.php
@@ -1650,7 +1650,7 @@
 'DomXsltStylesheet::result_dump_mem' => ['string', 'xmldoc'=>'DOMDocument'],
 'DOTNET::__construct' => ['void', 'assembly_name'=>'string', 'class_name'=>'string', 'codepage='=>'int'],
 'dotnet_load' => ['int', 'assembly_name'=>'string', 'datatype_name='=>'string', 'codepage='=>'int'],
-'doubleval' => ['float', 'var'=>'scalar|array|resource|null'],
+'doubleval' => ['float', 'var'=>'int|float|__stringnotstringable|bool|array|resource|null'],
 'Ds\Deque::__construct' => ['void', 'values='=>'mixed'],
 'Ds\Deque::count' => ['0|positive-int'],
 'Ds\Deque::jsonSerialize' => ['array'],
@@ -2448,7 +2448,7 @@
 'finfo_file' => ['string|false', 'finfo'=>'resource', 'file_name'=>'string', 'options='=>'int', 'context='=>'resource'],
 'finfo_open' => ['resource|false', 'options='=>'int', 'arg='=>'string'],
 'finfo_set_flags' => ['bool', 'finfo'=>'resource', 'options'=>'int'],
-'floatval' => ['float', 'var'=>'scalar|array|resource|null'],
+'floatval' => ['float', 'var'=>'int|float|__stringnotstringable|bool|array|resource|null'],
 'flock' => ['bool', 'fp'=>'resource', 'operation'=>'int-mask<LOCK_SH, LOCK_EX, LOCK_UN, LOCK_NB>', '&w_wouldblock='=>'0|1'],
 'floor' => ['__benevolent<float|false>', 'number'=>'float'],
 'flush' => ['void'],
@@ -5075,7 +5075,7 @@
 'intltz_to_date_time_zone' => ['DateTimeZone|false', 'obj'=>''],
 'intltz_use_daylight_time' => ['bool', 'obj'=>''],
 'intlz_create_default' => ['IntlTimeZone'],
-'intval' => ['int', 'var'=>'scalar|array|resource|null', 'base='=>'int'],
+'intval' => ['int', 'var'=>'int|float|__stringnotstringable|bool|array|resource|null', 'base='=>'int'],
 'InvalidArgumentException::__clone' => ['void'],
 'InvalidArgumentException::__construct' => ['void', 'message='=>'string', 'code='=>'int', 'previous='=>'(?Throwable)|(?InvalidArgumentException)'],
 'InvalidArgumentException::__toString' => ['string'],
diff --git a/src/PhpDoc/TypeNodeResolver.php b/src/PhpDoc/TypeNodeResolver.php
index ea29d7c088..e8c2d91c75 100644
--- a/src/PhpDoc/TypeNodeResolver.php
+++ b/src/PhpDoc/TypeNodeResolver.php
@@ -98,6 +98,7 @@
 use PHPStan\Type\StaticType;
 use PHPStan\Type\StaticTypeFactory;
 use PHPStan\Type\StringAlwaysAcceptingObjectWithToStringType;
+use PHPStan\Type\StringNeverAcceptingObjectWithToStringType;
 use PHPStan\Type\StringType;
 use PHPStan\Type\ThisType;
 use PHPStan\Type\Type;
@@ -462,6 +463,8 @@ private function resolveIdentifierTypeNode(IdentifierTypeNode $typeNode, NameSco
 				return StaticTypeFactory::falsey();
 			case '__stringandstringable':
 				return new StringAlwaysAcceptingObjectWithToStringType();
+			case '__stringnotstringable':
+				return new StringNeverAcceptingObjectWithToStringType();
 		}
 
 		if ($nameScope->getClassName() !== null) {
diff --git a/src/Type/StringNeverAcceptingObjectWithToStringType.php b/src/Type/StringNeverAcceptingObjectWithToStringType.php
new file mode 100644
index 0000000000..05aaad5467
--- /dev/null
+++ b/src/Type/StringNeverAcceptingObjectWithToStringType.php
@@ -0,0 +1,13 @@
+<?php declare(strict_types = 1);
+
+namespace PHPStan\Type;
+
+class StringNeverAcceptingObjectWithToStringType extends StringType
+{
+
+	public function accepts(Type $type, bool $strictTypes): AcceptsResult
+	{
+		return parent::accepts($type, true);
+	}
+
+}
diff --git a/tests/PHPStan/Rules/Functions/CallToFunctionParametersRuleTest.php b/tests/PHPStan/Rules/Functions/CallToFunctionParametersRuleTest.php
index bf3600834d..4f8b6640e4 100644
--- a/tests/PHPStan/Rules/Functions/CallToFunctionParametersRuleTest.php
+++ b/tests/PHPStan/Rules/Functions/CallToFunctionParametersRuleTest.php
@@ -2397,6 +2397,54 @@ public function testArrayRand(): void
 		]);
 	}
 
+	public function testBug6560(): void
+	{
+		$this->checkExplicitMixed = true;
+		$this->checkImplicitMixed = true;
+
+		$varName = PHP_VERSION_ID < 80000 ? '$var' : '$value';
+		$stringableName = PHP_VERSION_ID < 80000 ? 'class' : 'Stringable';
+
+		$this->analyse([__DIR__ . '/data/bug-6560.php'], [
+			[
+				sprintf('Parameter #1 %s of function strval expects bool|float|int|resource|string|null, array given.', $varName),
+				20,
+			],
+			[
+				sprintf('Parameter #1 %s of function strval expects bool|float|int|resource|string|null, stdClass given.', $varName),
+				74,
+			],
+			[
+				sprintf('Parameter #1 %s of function intval expects array|bool|float|int|resource|string|null, stdClass given.', $varName),
+				77,
+			],
+			[
+				sprintf('Parameter #1 %s of function floatval expects array|bool|float|int|resource|string|null, stdClass given.', $varName),
+				80,
+			],
+			[
+				sprintf('Parameter #1 %s of function intval expects array|bool|float|int|resource|string|null, %s@anonymous/tests/PHPStan/Rules/Functions/data/bug-6560.php:10 given.', $varName, $stringableName),
+				86,
+			],
+			[
+				sprintf('Parameter #1 %s of function floatval expects array|bool|float|int|resource|string|null, %s@anonymous/tests/PHPStan/Rules/Functions/data/bug-6560.php:10 given.', $varName, $stringableName),
+				89,
+			],
+			[
+				sprintf('Parameter #1 %s of function strval expects bool|float|int|resource|string|null, mixed given.', $varName),
+				92,
+			],
+			[
+				sprintf('Parameter #1 %s of function intval expects array|bool|float|int|resource|string|null, mixed given.', $varName),
+				95,
+			],
+			[
+				sprintf('Parameter #1 %s of function floatval expects array|bool|float|int|resource|string|null, mixed given.', $varName),
+				98,
+			],
+		]);
+	}
+
 	#[RequiresPhp('< 8.0')]
 	public function testArrayRandPhp7(): void
 	{
diff --git a/tests/PHPStan/Rules/Functions/data/bug-6560.php b/tests/PHPStan/Rules/Functions/data/bug-6560.php
new file mode 100644
index 0000000000..a17ce895a3
--- /dev/null
+++ b/tests/PHPStan/Rules/Functions/data/bug-6560.php
@@ -0,0 +1,98 @@
+<?php
+$array = [];
+$string = '';
+$int = 1;
+$float = .1;
+$resource = fopen('./.env', 'r'); // Cannot cast resource to float. But works
+\assert(false !== $resource);
+$bool = true;
+$object = new stdClass();
+$stringable = new class() {
+	public function __toString(): string {
+		return '';
+	}
+};
+$null = null;
+/** @var mixed $mixed */
+$mixed = null;
+
+echo (string) $array . PHP_EOL;
+echo strval($array) . PHP_EOL;
+
+echo (int) $array . PHP_EOL;
+echo intval($array) . PHP_EOL;
+
+echo (float) $array . PHP_EOL;
+echo floatval($array) . PHP_EOL;
+
+echo (string) $string . PHP_EOL;
+echo strval($string) . PHP_EOL;
+
+echo (int) $string . PHP_EOL;
+echo intval($string) . PHP_EOL;
+
+echo (float) $string . PHP_EOL;
+echo floatval($string) . PHP_EOL;
+
+echo (string) $int . PHP_EOL;
+echo strval($int) . PHP_EOL;
+
+echo (int) $int . PHP_EOL;
+echo intval($int) . PHP_EOL;
+
+echo (float) $int . PHP_EOL;
+echo floatval($int) . PHP_EOL;
+
+echo (string) $float . PHP_EOL;
+echo strval($float) . PHP_EOL;
+
+echo (int) $float . PHP_EOL;
+echo intval($float) . PHP_EOL;
+
+echo (float) $float . PHP_EOL;
+echo floatval($float) . PHP_EOL;
+
+echo (string) $resource . PHP_EOL;
+echo strval($resource) . PHP_EOL;
+
+echo (int) $resource . PHP_EOL;
+echo intval($resource) . PHP_EOL;
+
+echo (float) $resource . PHP_EOL;
+echo floatval($resource) . PHP_EOL;
+
+echo (string) $bool . PHP_EOL;
+echo strval($bool) . PHP_EOL;
+
+echo (int) $bool . PHP_EOL;
+echo intval($bool) . PHP_EOL;
+
+echo (float) $bool . PHP_EOL;
+echo floatval($bool) . PHP_EOL;
+
+echo (string) $object . PHP_EOL;
+echo strval($object) . PHP_EOL;
+
+echo (int) $object . PHP_EOL;
+echo intval($object) . PHP_EOL;
+
+echo (float) $object . PHP_EOL;
+echo floatval($object) . PHP_EOL;
+
+echo (string) $stringable . PHP_EOL;
+echo strval($stringable) . PHP_EOL;
+
+echo (int) $stringable . PHP_EOL;
+echo intval($stringable) . PHP_EOL;
+
+echo (float) $stringable . PHP_EOL;
+echo floatval($stringable) . PHP_EOL;
+
+echo (string) $mixed . PHP_EOL;
+echo strval($mixed) . PHP_EOL;
+
+echo (int) $mixed . PHP_EOL;
+echo intval($mixed) . PHP_EOL;
+
+echo (float) $mixed . PHP_EOL;
+echo floatval($mixed) . PHP_EOL;