56874960 has 200 divisors, whose sum is σ = 202013856. Its totient is φ = 14826240.

The previous prime is 56874959. The next prime is 56874967. The reversal of 56874960 is 6947865.

It is a super-2 number, since 2×56874960² = 6469522150003200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56874967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434095 + ... + 434225.

Almost surely, 2^56874960 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 56874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101006928).

56874960 is an abundant number, since it is smaller than the sum of its proper divisors (145138896).

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

56874960 is a wasteful number, since it uses less digits than its factorization.

56874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 56874960 is about 7541.5489125245. The cubic root of 56874960 is about 384.5684938938.

The spelling of 56874960 in words is "fifty-six million, eight hundred seventy-four thousand, nine hundred sixty".