12838680 has 96 divisors (see below), whose sum is σ = 43945200. Its totient is φ = 3241728.

The previous prime is 12838649. The next prime is 12838691. The reversal of 12838680 is 8683821.

12838680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5902 + ... + 7778.

Almost surely, 2^12838680 is an apocalyptic number.

12838680 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 12838680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21972600).

12838680 is an abundant number, since it is smaller than the sum of its proper divisors (31106520).

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

12838680 is a wasteful number, since it uses less digits than its factorization.

12838680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12838680 is about 3583.1103806609. The cubic root of 12838680 is about 234.1568092055.

The spelling of 12838680 in words is "twelve million, eight hundred thirty-eight thousand, six hundred eighty".