56681160 has 64 divisors (see below), whose sum is σ = 171002880. Its totient is φ = 15029760.

The previous prime is 56681159. The next prime is 56681189. The reversal of 56681160 is 6118665.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21684 + ... + 24156.

It is an arithmetic number, because the mean of its divisors is an integer number (2671920).

Almost surely, 2^56681160 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 56681160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85501440).

56681160 is an abundant number, since it is smaller than the sum of its proper divisors (114321720).

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

56681160 is a wasteful number, since it uses less digits than its factorization.

56681160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 56681160 is about 7528.6891289254. The cubic root of 56681160 is about 384.1311943214.

The spelling of 56681160 in words is "fifty-six million, six hundred eighty-one thousand, one hundred sixty".