57324160 has 64 divisors (see below), whose sum is σ = 140294880. Its totient is φ = 22385664.

The previous prime is 57324151. The next prime is 57324167. The reversal of 57324160 is 6142375.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (57324167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26479 + ... + 28561.

Almost surely, 2^57324160 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 57324160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70147440).

57324160 is an abundant number, since it is smaller than the sum of its proper divisors (82970720).

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

57324160 is a wasteful number, since it uses less digits than its factorization.

57324160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 57324160 is about 7571.2720199449. The cubic root of 57324160 is about 385.5782842749.

The spelling of 57324160 in words is "fifty-seven million, three hundred twenty-four thousand, one hundred sixty".