12643968 has 64 divisors (see below), whose sum is σ = 35373600. Its totient is φ = 3990528.

The previous prime is 12643933. The next prime is 12643999. The reversal of 12643968 is 86934621.

It is a tau number, because it is divible by the number of its divisors (64).

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, 6430 + ... + 8162.

Almost surely, 2^12643968 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 12643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17686800).

12643968 is an abundant number, since it is smaller than the sum of its proper divisors (22729632).

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

12643968 is a wasteful number, since it uses less digits than its factorization.

12643968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its digits is 62208, while the sum is 39.

The square root of 12643968 is about 3555.8357667361. The cubic root of 12643968 is about 232.9670297863.

The spelling of 12643968 in words is "twelve million, six hundred forty-three thousand, nine hundred sixty-eight".