57957120 has 360 divisors, whose sum is σ = 228527376. Its totient is φ = 13934592.

The previous prime is 57957103. The next prime is 57957121. The reversal of 57957120 is 2175975.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (57957121) 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 39 ways as a sum of consecutive naturals, for example, 1347819 + ... + 1347861.

Almost surely, 2^57957120 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 57957120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114263688).

57957120 is an abundant number, since it is smaller than the sum of its proper divisors (170570256).

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

57957120 is a wasteful number, since it uses less digits than its factorization.

57957120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 57957120 is about 7612.9573754225. The cubic root of 57957120 is about 386.9922479067.

The spelling of 57957120 in words is "fifty-seven million, nine hundred fifty-seven thousand, one hundred twenty".