57990 has 16 divisors (see below), whose sum is σ = 139248. Its totient is φ = 15456.

The previous prime is 57977. The next prime is 57991. The reversal of 57990 is 9975.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30), and also a Moran number because the ratio is a prime number: 1933 = 57990 / (5 + 7 + 9 + 9 + 0).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57991) by changing a digit.

57990 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 937 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (8703).

2⁵⁷⁹⁹⁰ is an apocalyptic number.

57990 is an abundant number, since it is smaller than the sum of its proper divisors (81258).

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 (69624).

57990 is a wasteful number, since it uses less digits than its factorization.

57990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943.

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 57990 is about 240.8111293109. The cubic root of 57990 is about 38.7065416367.

Subtracting from 57990 its product of nonzero digits (2835), we obtain a palindrome (55155).

The spelling of 57990 in words is "fifty-seven thousand, nine hundred ninety".