57921120 has 288 divisors, whose sum is σ = 218181600. Its totient is φ = 13934592.

The previous prime is 57921089. The next prime is 57921131. The reversal of 57921120 is 2112975.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×57921120² = 6709712284108800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793404 + ... + 793476.

It is an arithmetic number, because the mean of its divisors is an integer number (757575).

Almost surely, 2^57921120 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 57921120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109090800).

57921120 is an abundant number, since it is smaller than the sum of its proper divisors (160260480).

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

57921120 is a wasteful number, since it uses less digits than its factorization.

57921120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 57921120 is about 7610.5926181868. The cubic root of 57921120 is about 386.9121047108.

The spelling of 57921120 in words is "fifty-seven million, nine hundred twenty-one thousand, one hundred twenty".