57053984 has 96 divisors (see below), whose sum is σ = 129548160. Its totient is φ = 24532992.

The previous prime is 57053947. The next prime is 57053993. The reversal of 57053984 is 48935075.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 641012 + ... + 641100.

It is an arithmetic number, because the mean of its divisors is an integer number (1349460).

Almost surely, 2^57053984 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 57053984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64774080).

57053984 is an abundant number, since it is smaller than the sum of its proper divisors (72494176).

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

57053984 is a wasteful number, since it uses less digits than its factorization.

57053984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 57053984 is about 7553.4087669078. The cubic root of 57053984 is about 384.9715703975.

The spelling of 57053984 in words is "fifty-seven million, fifty-three thousand, nine hundred eighty-four".