57386208 has 96 divisors (see below), whose sum is σ = 169731072. Its totient is φ = 16819200.

The previous prime is 57386179. The next prime is 57386243. The reversal of 57386208 is 80268375.

57386208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31860 + ... + 33612.

It is an arithmetic number, because the mean of its divisors is an integer number (1768032).

Almost surely, 2^57386208 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 57386208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84865536).

57386208 is an abundant number, since it is smaller than the sum of its proper divisors (112344864).

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

57386208 is a wasteful number, since it uses less digits than its factorization.

57386208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 57386208 is about 7575.3685058880. The cubic root of 57386208 is about 385.7173514943.

The spelling of 57386208 in words is "fifty-seven million, three hundred eighty-six thousand, two hundred eight".