57946880 has 72 divisors (see below), whose sum is σ = 147020832. Its totient is φ = 21807104.

The previous prime is 57946877. The next prime is 57946937. The reversal of 57946880 is 8864975.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20429 + ... + 23091.

It is an arithmetic number, because the mean of its divisors is an integer number (2041956).

Almost surely, 2^57946880 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 57946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73510416).

57946880 is an abundant number, since it is smaller than the sum of its proper divisors (89073952).

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

57946880 is a wasteful number, since it uses less digits than its factorization.

57946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2701 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 47.

The square root of 57946880 is about 7612.2848081243. The cubic root of 57946880 is about 386.9694549981.

The spelling of 57946880 in words is "fifty-seven million, nine hundred forty-six thousand, eight hundred eighty".