56938560 has 224 divisors, whose sum is σ = 213116160. Its totient is φ = 12607488.

The previous prime is 56938549. The next prime is 56938577. The reversal of 56938560 is 6583965.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×56938560² = 6483999229747200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 248526 + ... + 248754.

Almost surely, 2^56938560 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 56938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106558080).

56938560 is an abundant number, since it is smaller than the sum of its proper divisors (156177600).

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

56938560 is a wasteful number, since it uses less digits than its factorization.

56938560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 56938560 is about 7545.7643747999. The cubic root of 56938560 is about 384.7117874451.

The spelling of 56938560 in words is "fifty-six million, nine hundred thirty-eight thousand, five hundred sixty".