15904 has 24 divisors (see below), whose sum is σ = 36288. Its totient is φ = 6720.

The previous prime is 15901. The next prime is 15907. The reversal of 15904 is 40951.

15904 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (15901) and next prime (15907).

It is not an unprimeable number, because it can be changed into a prime (15901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 189 + ... + 259.

It is an arithmetic number, because the mean of its divisors is an integer number (1512).

2¹⁵⁹⁰⁴ is an apocalyptic number.

15904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18144).

15904 is an abundant number, since it is smaller than the sum of its proper divisors (20384).

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

15904 is an equidigital number, since it uses as much as digits as its factorization.

15904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 15904 is about 126.1110621635. Note that the first 3 decimals coincide. The cubic root of 15904 is about 25.1479230249.

It can be divided in two parts, 15 and 904, that added together give a palindrome (919).

The spelling of 15904 in words is "fifteen thousand, nine hundred four".