57093120 has 352 divisors, whose sum is σ = 235814400. Its totient is φ = 12828672.

The previous prime is 57093079. The next prime is 57093131. The reversal of 57093120 is 2139075.

57093120 is a `hidden beast` number, since 570 + 93 + 1 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967651 + ... + 967709.

Almost surely, 2^57093120 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 57093120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117907200).

57093120 is an abundant number, since it is smaller than the sum of its proper divisors (178721280).

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

57093120 is a wasteful number, since it uses less digits than its factorization.

57093120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 57093120 is about 7555.9989412387. The cubic root of 57093120 is about 385.0595736227.

The spelling of 57093120 in words is "fifty-seven million, ninety-three thousand, one hundred twenty".