56808960 has 160 divisors (see below), whose sum is σ = 195924960. Its totient is φ = 13959168.

The previous prime is 56808959. The next prime is 56809009. The reversal of 56808960 is 6980865.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99556 + ... + 100124.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^56808960 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 56808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97962480).

56808960 is an abundant number, since it is smaller than the sum of its proper divisors (139116000).

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

56808960 is a wasteful number, since it uses less digits than its factorization.

56808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 56808960 is about 7537.1718834056. The cubic root of 56808960 is about 384.4196800464.

The spelling of 56808960 in words is "fifty-six million, eight hundred eight thousand, nine hundred sixty".