57384576 has 96 divisors (see below), whose sum is σ = 167009700. Its totient is φ = 18911232.

The previous prime is 57384559. The next prime is 57384577. The reversal of 57384576 is 67548375.

57384576 is a `hidden beast` number, since 5 + 73 + 8 + 4 + 576 = 666.

57384576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52186176 + 5198400 = 7224^2 + 2280^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57384577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125340 + ... + 125796.

Almost surely, 2^57384576 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 57384576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83504850).

57384576 is an abundant number, since it is smaller than the sum of its proper divisors (109625124).

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

57384576 is a wasteful number, since it uses less digits than its factorization.

57384576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 571 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 57384576 is about 7575.2607875901. The cubic root of 57384576 is about 385.7136950020.

The spelling of 57384576 in words is "fifty-seven million, three hundred eighty-four thousand, five hundred seventy-six".