56179440 has 160 divisors (see below), whose sum is σ = 199987200. Its totient is φ = 14480640.

The previous prime is 56179439. The next prime is 56179451. The reversal of 56179440 is 4497165.

56179440 is a `hidden beast` number, since 561 + 7 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×56179440² = 6312258957427200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 56179395 and 56179404.

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, 66541 + ... + 67379.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^56179440 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 56179440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99993600).

56179440 is an abundant number, since it is smaller than the sum of its proper divisors (143807760).

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

56179440 is a wasteful number, since it uses less digits than its factorization.

56179440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56179440 is about 7495.2945238996. The cubic root of 56179440 is about 382.9944394023.

The spelling of 56179440 in words is "fifty-six million, one hundred seventy-nine thousand, four hundred forty".