56655872 has 128 divisors (see below), whose sum is σ = 146798400. Its totient is φ = 21233664.

The previous prime is 56655847. The next prime is 56655881. The reversal of 56655872 is 27855665.

It is a tau number, because it is divible by the number of its divisors (128).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 56655872 = 32³ + 384³ = 288³ + 320³.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2981879 + ... + 2981897.

Almost surely, 2^56655872 is an apocalyptic number.

56655872 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56655872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73399200).

56655872 is an abundant number, since it is smaller than the sum of its proper divisors (90142528).

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

56655872 is an equidigital number, since it uses as much as digits as its factorization.

56655872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its digits is 504000, while the sum is 44.

The square root of 56655872 is about 7527.0094991304. The cubic root of 56655872 is about 384.0740597897.

The spelling of 56655872 in words is "fifty-six million, six hundred fifty-five thousand, eight hundred seventy-two".