12838904 has 32 divisors (see below), whose sum is σ = 26565840. Its totient is φ = 5779200.

The previous prime is 12838877. The next prime is 12838907. The reversal of 12838904 is 40983821.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12838907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2759 + ... + 5769.

Almost surely, 2^12838904 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 12838904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13282920).

12838904 is an abundant number, since it is smaller than the sum of its proper divisors (13726936).

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

12838904 is a wasteful number, since it uses less digits than its factorization.

12838904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 12838904 is about 3583.1416382834. The cubic root of 12838904 is about 234.1581709972.

The spelling of 12838904 in words is "twelve million, eight hundred thirty-eight thousand, nine hundred four".