12531904 has 56 divisors (see below), whose sum is σ = 31016448. Its totient is φ = 4880640.

The previous prime is 12531889. The next prime is 12531913. The reversal of 12531904 is 40913521.

12531904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3657 + ... + 6199.

Almost surely, 2^12531904 is an apocalyptic number.

12531904 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 12531904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15508224).

12531904 is an abundant number, since it is smaller than the sum of its proper divisors (18484544).

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

12531904 is a wasteful number, since it uses less digits than its factorization.

12531904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 12531904 is about 3540.0429375927. The cubic root of 12531904 is about 232.2767209360.

The spelling of 12531904 in words is "twelve million, five hundred thirty-one thousand, nine hundred four".