12839904 has 192 divisors, whose sum is σ = 46932480. Its totient is φ = 3317760.

The previous prime is 12839903. The next prime is 12839909. The reversal of 12839904 is 40993821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12839903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66432 + ... + 66624.

It is an arithmetic number, because the mean of its divisors is an integer number (244440).

Almost surely, 2^12839904 is an apocalyptic number.

12839904 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 12839904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23466240).

12839904 is an abundant number, since it is smaller than the sum of its proper divisors (34092576).

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

12839904 is a wasteful number, since it uses less digits than its factorization.

12839904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 12839904 is about 3583.2811779150. The cubic root of 12839904 is about 234.1642502308.

The spelling of 12839904 in words is "twelve million, eight hundred thirty-nine thousand, nine hundred four".