12838920 has 64 divisors (see below), whose sum is σ = 38949120. Its totient is φ = 3385344.

The previous prime is 12838913. The next prime is 12838921. The reversal of 12838920 is 2983821.

It is not an unprimeable number, because it can be changed into a prime (12838921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11089 + ... + 12191.

It is an arithmetic number, because the mean of its divisors is an integer number (608580).

Almost surely, 2^12838920 is an apocalyptic number.

12838920 is a gapful number since it is divisible by the number (10) 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 12838920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19474560).

12838920 is an abundant number, since it is smaller than the sum of its proper divisors (26110200).

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

12838920 is a wasteful number, since it uses less digits than its factorization.

12838920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 12838920 is about 3583.1438709602. The cubic root of 12838920 is about 234.1582682674.

The spelling of 12838920 in words is "twelve million, eight hundred thirty-eight thousand, nine hundred twenty".