264689656 has 128 divisors (see below), whose sum is σ = 650280960. Its totient is φ = 98006400.

The previous prime is 264689629. The next prime is 264689713. The reversal of 264689656 is 656986462.

It is a super-2 number, since 2×264689656² = 140121227986796672, 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 (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1584885 + ... + 1585051.

It is an arithmetic number, because the mean of its divisors is an integer number (5080320).

Almost surely, 2^264689656 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 264689656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325140480).

264689656 is an abundant number, since it is smaller than the sum of its proper divisors (385591304).

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

264689656 is a wasteful number, since it uses less digits than its factorization.

264689656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 301 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The square root of 264689656 is about 16269.2856634826. The cubic root of 264689656 is about 642.0649902020.

The spelling of 264689656 in words is "two hundred sixty-four million, six hundred eighty-nine thousand, six hundred fifty-six".