57690 has 24 divisors (see below), whose sum is σ = 150228. Its totient is φ = 15360.

The previous prime is 57689. The next prime is 57697. The reversal of 57690 is 9675.

57690 is a `hidden beast` number, since 576 + 90 = 666.

57690 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 56169 + 1521 = 237^2 + 39^2 .

It is a super-2 number, since 2×57690² = 6656272200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 231 + ... + 410.

2⁵⁷⁶⁹⁰ is an apocalyptic number.

57690 is an abundant number, since it is smaller than the sum of its proper divisors (92538).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75114).

57690 is a wasteful number, since it uses less digits than its factorization.

57690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 651 counting only the distinct ones).

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

The square root of 57690 is about 240.1874268150. The cubic root of 57690 is about 38.6396792793.

It can be divided in two parts, 576 and 90, that added together give a palindrome (666).

The spelling of 57690 in words is "fifty-seven thousand, six hundred ninety".