56634160 has 80 divisors (see below), whose sum is σ = 144990720. Its totient is φ = 20401920.

The previous prime is 56634103. The next prime is 56634163. The reversal of 56634160 is 6143665.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (56634163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122089 + ... + 122551.

It is an arithmetic number, because the mean of its divisors is an integer number (1812384).

Almost surely, 2^56634160 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 56634160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72495360).

56634160 is an abundant number, since it is smaller than the sum of its proper divisors (88356560).

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

56634160 is a wasteful number, since it uses less digits than its factorization.

56634160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 56634160 is about 7525.5670882665. The cubic root of 56634160 is about 384.0249911397.

The spelling of 56634160 in words is "fifty-six million, six hundred thirty-four thousand, one hundred sixty".