12864656 has 60 divisors (see below), whose sum is σ = 29579580. Its totient is φ = 5402880.

The previous prime is 12864623. The next prime is 12864667. The reversal of 12864656 is 65646821.

It can be written as a sum of positive squares in 2 ways, for example, as 614656 + 12250000 = 784^2 + 3500^2 .

It is a congruent number.

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, 47690 + ... + 47958.

It is an arithmetic number, because the mean of its divisors is an integer number (492993).

Almost surely, 2^12864656 is an apocalyptic number.

12864656 is a gapful number since it is divisible by the number (16) 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 12864656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14789790).

12864656 is an abundant number, since it is smaller than the sum of its proper divisors (16714924).

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

12864656 is a wasteful number, since it uses less digits than its factorization.

12864656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 339 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 12864656 is about 3586.7333327138. The cubic root of 12864656 is about 234.3146229306.

The spelling of 12864656 in words is "twelve million, eight hundred sixty-four thousand, six hundred fifty-six".