56831688 has 72 divisors (see below), whose sum is σ = 157436370. Its totient is φ = 18520320.

The previous prime is 56831669. The next prime is 56831759. The reversal of 56831688 is 88613865.

56831688 is a `hidden beast` number, since 568 + 3 + 1 + 6 + 88 = 666.

56831688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 56520324 + 311364 = 7518^2 + 558^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 202108 + ... + 202388.

Almost surely, 2^56831688 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 56831688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78718185).

56831688 is an abundant number, since it is smaller than the sum of its proper divisors (100604682).

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

56831688 is a wasteful number, since it uses less digits than its factorization.

56831688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 339 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 56831688 is about 7538.6794599585. The cubic root of 56831688 is about 384.4709391294.

It can be divided in two parts, 56 and 831688, that added together give a square (831744 = 912²).

The spelling of 56831688 in words is "fifty-six million, eight hundred thirty-one thousand, six hundred eighty-eight".