56338656 has 96 divisors (see below), whose sum is σ = 166634496. Its totient is φ = 16512000.

The previous prime is 56338637. The next prime is 56338693. The reversal of 56338656 is 65683365.

56338656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 31876 + ... + 33596.

It is an arithmetic number, because the mean of its divisors is an integer number (1735776).

Almost surely, 2^56338656 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 56338656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83317248).

56338656 is an abundant number, since it is smaller than the sum of its proper divisors (110295840).

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

56338656 is a wasteful number, since it uses less digits than its factorization.

56338656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776 (or 1768 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 56338656 is about 7505.9080729782. The cubic root of 56338656 is about 383.3559081013.

The spelling of 56338656 in words is "fifty-six million, three hundred thirty-eight thousand, six hundred fifty-six".