56415180 has 192 divisors, whose sum is σ = 182891520. Its totient is φ = 12902400.

The previous prime is 56415169. The next prime is 56415193. The reversal of 56415180 is 8151465.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 794545 + ... + 794615.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^56415180 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 56415180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

56415180 is an abundant number, since it is smaller than the sum of its proper divisors (126476340).

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

56415180 is a wasteful number, since it uses less digits than its factorization.

56415180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The square root of 56415180 is about 7511.0039275719. The cubic root of 56415180 is about 383.5293985453.

The spelling of 56415180 in words is "fifty-six million, four hundred fifteen thousand, one hundred eighty".