56595264 has 112 divisors (see below), whose sum is σ = 165421056. Its totient is φ = 16934400.

The previous prime is 56595257. The next prime is 56595271. The reversal of 56595264 is 46259565.

56595264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56595257) and next prime (56595271).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 268119 + ... + 268329.

Almost surely, 2^56595264 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 56595264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82710528).

56595264 is an abundant number, since it is smaller than the sum of its proper divisors (108825792).

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

56595264 is a wasteful number, since it uses less digits than its factorization.

56595264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 354 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 56595264 is about 7522.9823873249. The cubic root of 56595264 is about 383.9370556551.

The spelling of 56595264 in words is "fifty-six million, five hundred ninety-five thousand, two hundred sixty-four".