56736320 has 28 divisors (see below), whose sum is σ = 135104124. Its totient is φ = 22694400.

The previous prime is 56736311. The next prime is 56736349. The reversal of 56736320 is 2363765.

It can be written as a sum of positive squares in 2 ways, for example, as 18593344 + 38142976 = 4312^2 + 6176^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88331 + ... + 88970.

Almost surely, 2^56736320 is an apocalyptic number.

It is an amenable number.

56736320 is an abundant number, since it is smaller than the sum of its proper divisors (78367804).

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

56736320 is a wasteful number, since it uses less digits than its factorization.

56736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177318 (or 177308 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 56736320 is about 7532.3515584444. The cubic root of 56736320 is about 384.2557613266.

The spelling of 56736320 in words is "fifty-six million, seven hundred thirty-six thousand, three hundred twenty".