57468320 has 96 divisors (see below), whose sum is σ = 167142528. Its totient is φ = 18183168.

The previous prime is 57468319. The next prime is 57468337. The reversal of 57468320 is 2386475.

It is a happy number.

57468320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 12587 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (1741068).

Almost surely, 2^57468320 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 57468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83571264).

57468320 is an abundant number, since it is smaller than the sum of its proper divisors (109674208).

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

57468320 is a wasteful number, since it uses less digits than its factorization.

57468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3982 (or 3974 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 57468320 is about 7580.7862389069. The cubic root of 57468320 is about 385.9012338250.

The spelling of 57468320 in words is "fifty-seven million, four hundred sixty-eight thousand, three hundred twenty".