56675160 has 128 divisors (see below), whose sum is σ = 191217600. Its totient is φ = 14929920.

The previous prime is 56675141. The next prime is 56675183. The reversal of 56675160 is 6157665.

It is a happy number.

It is a super-2 number, since 2×56675160² = 6424147522051200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

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, 104490 + ... + 105030.

Almost surely, 2^56675160 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 56675160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95608800).

56675160 is an abundant number, since it is smaller than the sum of its proper divisors (134542440).

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

56675160 is a wasteful number, since it uses less digits than its factorization.

56675160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 56675160 is about 7528.2906426359. The cubic root of 56675160 is about 384.1176397382.

The spelling of 56675160 in words is "fifty-six million, six hundred seventy-five thousand, one hundred sixty".