56684256 has 96 divisors (see below), whose sum is σ = 161118720. Its totient is φ = 17381376.

The previous prime is 56684249. The next prime is 56684261. The reversal of 56684256 is 65248665.

56684256 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, 76335 + ... + 77073.

It is an arithmetic number, because the mean of its divisors is an integer number (1678320).

Almost surely, 2^56684256 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 56684256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80559360).

56684256 is an abundant number, since it is smaller than the sum of its proper divisors (104434464).

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

56684256 is a wasteful number, since it uses less digits than its factorization.

56684256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 56684256 is about 7528.8947396016. The cubic root of 56684256 is about 384.1381881122.

The spelling of 56684256 in words is "fifty-six million, six hundred eighty-four thousand, two hundred fifty-six".