56645160 has 128 divisors (see below), whose sum is σ = 199704960. Its totient is φ = 12672000.

The previous prime is 56645131. The next prime is 56645161. The reversal of 56645160 is 6154665.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (56645161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15510 + ... + 18810.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2^56645160 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 56645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

56645160 is an abundant number, since it is smaller than the sum of its proper divisors (143059800).

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

56645160 is a wasteful number, since it uses less digits than its factorization.

56645160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 56645160 is about 7526.2978947156. The cubic root of 56645160 is about 384.0498524686.

The spelling of 56645160 in words is "fifty-six million, six hundred forty-five thousand, one hundred sixty".