264564 has 18 divisors (see below), whose sum is σ = 668850. Its totient is φ = 88176.

The previous prime is 264559. The next prime is 264577. The reversal of 264564 is 465462.

It is a happy number.

264564 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 242064 + 22500 = 492^2 + 150^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×264564² = 139988220192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3639 + ... + 3710.

2²⁶⁴⁵⁶⁴ is an apocalyptic number.

It is an amenable number.

264564 is an abundant number, since it is smaller than the sum of its proper divisors (404286).

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

264564 is a wasteful number, since it uses less digits than its factorization.

264564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7359 (or 7354 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 264564 is about 514.3578520835. The cubic root of 264564 is about 64.1963371713.

It can be divided in two parts, 264 and 564, that added together give a palindrome (828).

The spelling of 264564 in words is "two hundred sixty-four thousand, five hundred sixty-four".