57345768 has 48 divisors (see below), whose sum is σ = 155937600. Its totient is φ = 19038240.

The previous prime is 57345767. The next prime is 57345787. The reversal of 57345768 is 86754375.

57345768 is a `hidden beast` number, since 5 + 73 + 4 + 576 + 8 = 666.

57345768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (57345763) 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, 18043 + ... + 20981.

It is an arithmetic number, because the mean of its divisors is an integer number (3248700).

Almost surely, 2^57345768 is an apocalyptic number.

It is an amenable number.

57345768 is an abundant number, since it is smaller than the sum of its proper divisors (98591832).

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

57345768 is a wasteful number, since it uses less digits than its factorization.

57345768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3215 counting only the distinct ones).

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

The square root of 57345768 is about 7572.6988583992. The cubic root of 57345768 is about 385.6267253333.

The spelling of 57345768 in words is "fifty-seven million, three hundred forty-five thousand, seven hundred sixty-eight".