57360640 has 72 divisors (see below), whose sum is σ = 140876568. Its totient is φ = 22364160.

The previous prime is 57360617. The next prime is 57360691. The reversal of 57360640 is 4606375.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 49787136 = 2752^2 + 7056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51934 + ... + 53026.

It is an arithmetic number, because the mean of its divisors is an integer number (1956619).

Almost surely, 2^57360640 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 57360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70438284).

57360640 is an abundant number, since it is smaller than the sum of its proper divisors (83515928).

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

57360640 is a wasteful number, since it uses less digits than its factorization.

57360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 57360640 is about 7573.6807432054. The cubic root of 57360640 is about 385.6600584815.

The spelling of 57360640 in words is "fifty-seven million, three hundred sixty thousand, six hundred forty".