57000096 has 72 divisors (see below), whose sum is σ = 165582144. Its totient is φ = 18591360.

The previous prime is 57000089. The next prime is 57000107. The reversal of 57000096 is 69000075.

57000096 is a `hidden beast` number, since 570 + 0 + 0 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11431 + ... + 15641.

It is an arithmetic number, because the mean of its divisors is an integer number (2299752).

Almost surely, 2^57000096 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 57000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82791072).

57000096 is an abundant number, since it is smaller than the sum of its proper divisors (108582048).

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

57000096 is a wasteful number, since it uses less digits than its factorization.

57000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4274 (or 4263 counting only the distinct ones).

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

The square root of 57000096 is about 7549.8407930234. The cubic root of 57000096 is about 384.8503291838.

The spelling of 57000096 in words is "fifty-seven million, ninety-six", and thus it is an aban number and an uban number.