12683968 has 56 divisors (see below), whose sum is σ = 28163520. Its totient is φ = 5617920.

The previous prime is 12683953. The next prime is 12683981. The reversal of 12683968 is 86938621.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30063 + ... + 30481.

It is an arithmetic number, because the mean of its divisors is an integer number (502920).

Almost surely, 2^12683968 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 12683968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14081760).

12683968 is an abundant number, since it is smaller than the sum of its proper divisors (15479552).

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

12683968 is a wasteful number, since it uses less digits than its factorization.

12683968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 12683968 is about 3561.4558820797. The cubic root of 12683968 is about 233.2124398684.

The spelling of 12683968 in words is "twelve million, six hundred eighty-three thousand, nine hundred sixty-eight".