565664 has 24 divisors (see below), whose sum is σ = 1215648. Its totient is φ = 256960.

The previous prime is 565661. The next prime is 565667. The reversal of 565664 is 466565.

It is an interprime number because it is at equal distance from previous prime (565661) and next prime (565667).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 565664.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 565664.

It is not an unprimeable number, because it can be changed into a prime (565661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 452 + ... + 1155.

It is an arithmetic number, because the mean of its divisors is an integer number (50652).

2⁵⁶⁵⁶⁶⁴ is an apocalyptic number.

It is an amenable number.

565664 is an abundant number, since it is smaller than the sum of its proper divisors (649984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

565664 is a wasteful number, since it uses less digits than its factorization.

565664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1620 counting only the distinct ones).

The product of its digits is 21600, while the sum is 32.

The square root of 565664 is about 752.1063754550. The cubic root of 565664 is about 82.7026667113.

Subtracting from 565664 its reverse (466565), we obtain a palindrome (99099).

The spelling of 565664 in words is "five hundred sixty-five thousand, six hundred sixty-four".