56601160 has 256 divisors, whose sum is σ = 179159040. Its totient is φ = 15544320.

The previous prime is 56601151. The next prime is 56601163. The reversal of 56601160 is 6110665.

It is not an unprimeable number, because it can be changed into a prime (56601163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1204257 + ... + 1204303.

It is an arithmetic number, because the mean of its divisors is an integer number (699840).

Almost surely, 2^56601160 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 56601160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89579520).

56601160 is an abundant number, since it is smaller than the sum of its proper divisors (122557880).

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

56601160 is a wasteful number, since it uses less digits than its factorization.

56601160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 56601160 is about 7523.3742429843. The cubic root of 56601160 is about 383.9503878324.

The spelling of 56601160 in words is "fifty-six million, six hundred one thousand, one hundred sixty".