56986160 has 180 divisors, whose sum is σ = 172374384. Its totient is φ = 17149440.

The previous prime is 56986147. The next prime is 56986169. The reversal of 56986160 is 6168965.

It is not an unprimeable number, because it can be changed into a prime (56986169) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1965026 + ... + 1965054.

Almost surely, 2^56986160 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 56986160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86187192).

56986160 is an abundant number, since it is smaller than the sum of its proper divisors (115388224).

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

56986160 is a wasteful number, since it uses less digits than its factorization.

56986160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 56986160 is about 7548.9178032351. The cubic root of 56986160 is about 384.8189625036.

The spelling of 56986160 in words is "fifty-six million, nine hundred eighty-six thousand, one hundred sixty".