12638904 has 64 divisors (see below), whose sum is σ = 33306240. Its totient is φ = 3991680.

The previous prime is 12638903. The next prime is 12638909. The reversal of 12638904 is 40983621.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12638903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38019 + ... + 38349.

It is an arithmetic number, because the mean of its divisors is an integer number (520410).

Almost surely, 2^12638904 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 12638904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16653120).

12638904 is an abundant number, since it is smaller than the sum of its proper divisors (20667336).

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

12638904 is a wasteful number, since it uses less digits than its factorization.

12638904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 12638904 is about 3555.1236265424. The cubic root of 12638904 is about 232.9359239769.

The spelling of 12638904 in words is "twelve million, six hundred thirty-eight thousand, nine hundred four".