56918160 has 160 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 14003712.

The previous prime is 56918119. The next prime is 56918171. The reversal of 56918160 is 6181965.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27067 + ... + 29093.

It is an arithmetic number, because the mean of its divisors is an integer number (1320228).

Almost surely, 2^56918160 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 56918160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

56918160 is an abundant number, since it is smaller than the sum of its proper divisors (154318320).

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

56918160 is a wasteful number, since it uses less digits than its factorization.

56918160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 56918160 is about 7544.4125019779. The cubic root of 56918160 is about 384.6658369918.

The spelling of 56918160 in words is "fifty-six million, nine hundred eighteen thousand, one hundred sixty".