15906 has 16 divisors (see below), whose sum is σ = 34848. Its totient is φ = 4800.

The previous prime is 15901. The next prime is 15907. The reversal of 15906 is 60951.

15906 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

15906 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, 55 + ... + 186.

It is an arithmetic number, because the mean of its divisors is an integer number (2178).

2¹⁵⁹⁰⁶ is an apocalyptic number.

15906 is an abundant number, since it is smaller than the sum of its proper divisors (18942).

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 (17424).

15906 is a wasteful number, since it uses less digits than its factorization.

15906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 15906 is about 126.1189914327. The cubic root of 15906 is about 25.1489771358.

It can be divided in two parts, 1590 and 6, that added together give a triangular number (1596 = T₅₆).

The spelling of 15906 in words is "fifteen thousand, nine hundred six".