56686320 has 120 divisors (see below), whose sum is σ = 192143952. Its totient is φ = 14976000.

The previous prime is 56686303. The next prime is 56686339. The reversal of 56686320 is 2368665.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94020 + ... + 94620.

Almost surely, 2^56686320 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 56686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96071976).

56686320 is an abundant number, since it is smaller than the sum of its proper divisors (135457632).

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

56686320 is a wasteful number, since it uses less digits than its factorization.

56686320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 56686320 is about 7529.0318102662. The cubic root of 56686320 is about 384.1428504979.

The spelling of 56686320 in words is "fifty-six million, six hundred eighty-six thousand, three hundred twenty".