12636768 has 48 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 4177536.

The previous prime is 12636739. The next prime is 12636769. The reversal of 12636768 is 86763621.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12636769) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12871 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (696780).

Almost surely, 2^12636768 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 12636768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

12636768 is an abundant number, since it is smaller than the sum of its proper divisors (20808672).

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

12636768 is a wasteful number, since it uses less digits than its factorization.

12636768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1091 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 12636768 is about 3554.8232023548. The cubic root of 12636768 is about 232.9228010256.

The spelling of 12636768 in words is "twelve million, six hundred thirty-six thousand, seven hundred sixty-eight".