59904 has 60 divisors (see below), whose sum is σ = 186186. Its totient is φ = 18432.

The previous prime is 59887. The next prime is 59921. The reversal of 59904 is 40995.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (59887) and next prime (59921).

It can be written as a sum of positive squares in only one way, i.e., 57600 + 2304 = 240^2 + 48^2 .

It is a nialpdrome in base 4 and base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4602 + ... + 4614.

2⁵⁹⁹⁰⁴ 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 59904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93093).

59904 is an abundant number, since it is smaller than the sum of its proper divisors (126282).

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

59904 is a wasteful number, since it uses less digits than its factorization.

59904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 59904 is about 244.7529366525. The cubic root of 59904 is about 39.1277859721.

The spelling of 59904 in words is "fifty-nine thousand, nine hundred four".