56000160 has 240 divisors, whose sum is σ = 205821000. Its totient is φ = 14321664.

The previous prime is 56000149. The next prime is 56000179. The reversal of 56000160 is 6100065.

56000160 is a `hidden beast` number, since 5 + 600 + 0 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34433424 + 21566736 = 5868^2 + 4644^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 375766 + ... + 375914.

Almost surely, 2^56000160 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 56000160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102910500).

56000160 is an abundant number, since it is smaller than the sum of its proper divisors (149820840).

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

56000160 is a wasteful number, since it uses less digits than its factorization.

56000160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56000160 is about 7483.3254639899. The cubic root of 56000160 is about 382.5866009220.

The spelling of 56000160 in words is "fifty-six million, one hundred sixty", and thus it is an aban number.