264807564 has 72 divisors (see below), whose sum is σ = 729001728. Its totient is φ = 74581920.

The previous prime is 264807553. The next prime is 264807577. The reversal of 264807564 is 465708462.

It is a super-2 number, since 2×264807564² = 140246091903228192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38577 + ... + 44919.

It is an arithmetic number, because the mean of its divisors is an integer number (10125024).

Almost surely, 2^264807564 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 264807564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500864).

264807564 is an abundant number, since it is smaller than the sum of its proper divisors (464194164).

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

264807564 is a wasteful number, since it uses less digits than its factorization.

264807564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6426 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The square root of 264807564 is about 16272.9088979199. The cubic root of 264807564 is about 642.1603136104.

The spelling of 264807564 in words is "two hundred sixty-four million, eight hundred seven thousand, five hundred sixty-four".