57674880 has 384 divisors, whose sum is σ = 229132800. Its totient is φ = 13271040.

The previous prime is 57674879. The next prime is 57674887. The reversal of 57674880 is 8847675.

57674880 is a `hidden beast` number, since 576 + 74 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (57674887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1860465 + ... + 1860495.

It is an arithmetic number, because the mean of its divisors is an integer number (596700).

Almost surely, 2^57674880 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 57674880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114566400).

57674880 is an abundant number, since it is smaller than the sum of its proper divisors (171457920).

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

57674880 is a wasteful number, since it uses less digits than its factorization.

57674880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 57674880 is about 7594.3979353205. The cubic root of 57674880 is about 386.3630328689.

The spelling of 57674880 in words is "fifty-seven million, six hundred seventy-four thousand, eight hundred eighty".