56131160 has 64 divisors (see below), whose sum is σ = 131068800. Its totient is φ = 21620736.

The previous prime is 56131147. The next prime is 56131171. The reversal of 56131160 is 6113165.

It is a happy number.

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, 137036 + ... + 137444.

It is an arithmetic number, because the mean of its divisors is an integer number (2047950).

Almost surely, 2^56131160 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 56131160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65534400).

56131160 is an abundant number, since it is smaller than the sum of its proper divisors (74937640).

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

56131160 is a wasteful number, since it uses less digits than its factorization.

56131160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 56131160 is about 7492.0731443306. The cubic root of 56131160 is about 382.8846942059.

The spelling of 56131160 in words is "fifty-six million, one hundred thirty-one thousand, one hundred sixty".