57351360 has 112 divisors (see below), whose sum is σ = 198680832. Its totient is φ = 13900800.

The previous prime is 57351341. The next prime is 57351391. The reversal of 57351360 is 6315375.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7845 + ... + 13275.

It is an arithmetic number, because the mean of its divisors is an integer number (1773936).

Almost surely, 2^57351360 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 57351360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99340416).

57351360 is an abundant number, since it is smaller than the sum of its proper divisors (141329472).

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

57351360 is a wasteful number, since it uses less digits than its factorization.

57351360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5462 (or 5452 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 57351360 is about 7573.0680704718. The cubic root of 57351360 is about 385.6392595599.

The spelling of 57351360 in words is "fifty-seven million, three hundred fifty-one thousand, three hundred sixty".