12838960 has 60 divisors (see below), whose sum is σ = 31029264. Its totient is φ = 4940160.

The previous prime is 12838951. The next prime is 12838979. The reversal of 12838960 is 6983821.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76797 + ... + 76963.

Almost surely, 2^12838960 is an apocalyptic number.

12838960 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 12838960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514632).

12838960 is an abundant number, since it is smaller than the sum of its proper divisors (18190304).

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

12838960 is a wasteful number, since it uses less digits than its factorization.

12838960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 12838960 is about 3583.1494526464. The cubic root of 12838960 is about 234.1585114426.

The spelling of 12838960 in words is "twelve million, eight hundred thirty-eight thousand, nine hundred sixty".