56754180 has 144 divisors (see below), whose sum is σ = 203234304. Its totient is φ = 12545280.

The previous prime is 56754167. The next prime is 56754221. The reversal of 56754180 is 8145765.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38334 + ... + 39786.

Almost surely, 2^56754180 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 56754180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101617152).

56754180 is an abundant number, since it is smaller than the sum of its proper divisors (146480124).

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

56754180 is a wasteful number, since it uses less digits than its factorization.

56754180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 56754180 is about 7533.5370178954. The cubic root of 56754180 is about 384.2960769945.

The spelling of 56754180 in words is "fifty-six million, seven hundred fifty-four thousand, one hundred eighty".