565264 has 40 divisors (see below), whose sum is σ = 1289600. Its totient is φ = 239904.

The previous prime is 565261. The next prime is 565273. The reversal of 565264 is 462565.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (565261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5437 + ... + 5539.

It is an arithmetic number, because the mean of its divisors is an integer number (32240).

2⁵⁶⁵²⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 565264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644800).

565264 is an abundant number, since it is smaller than the sum of its proper divisors (724336).

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

565264 is a wasteful number, since it uses less digits than its factorization.

565264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 112 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 565264 is about 751.8404085975. The cubic root of 565264 is about 82.6831681707.

The spelling of 565264 in words is "five hundred sixty-five thousand, two hundred sixty-four".