56746144 has 72 divisors (see below), whose sum is σ = 138348000. Its totient is φ = 22434048.

The previous prime is 56746139. The next prime is 56746171. The reversal of 56746144 is 44164765.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37107 + ... + 38605.

It is an arithmetic number, because the mean of its divisors is an integer number (1921500).

Almost surely, 2^56746144 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 56746144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69174000).

56746144 is an abundant number, since it is smaller than the sum of its proper divisors (81601856).

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

56746144 is a wasteful number, since it uses less digits than its factorization.

56746144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1521 counting only the distinct ones).

The product of its digits is 80640, while the sum is 37.

The square root of 56746144 is about 7533.0036506031. The cubic root of 56746144 is about 384.2779382480.

The spelling of 56746144 in words is "fifty-six million, seven hundred forty-six thousand, one hundred forty-four".