57123090 has 64 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 15043392.

The previous prime is 57123067. The next prime is 57123091. The reversal of 57123090 is 9032175.

57123090 is a `hidden beast` number, since 571 + 2 + 3 + 0 + 90 = 666.

It is a super-2 number, since 2×57123090² = 6526094822296200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (57123091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21136 + ... + 23684.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^57123090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57123090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

57123090 is an abundant number, since it is smaller than the sum of its proper divisors (97100910).

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

57123090 is a wasteful number, since it uses less digits than its factorization.

57123090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2648 (or 2642 counting only the distinct ones).

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

The square root of 57123090 is about 7557.9818734898. The cubic root of 57123090 is about 385.1269385214.

The spelling of 57123090 in words is "fifty-seven million, one hundred twenty-three thousand, ninety".