12808656 has 120 divisors (see below), whose sum is σ = 41705664. Its totient is φ = 3594240.

The previous prime is 12808637. The next prime is 12808661. The reversal of 12808656 is 65680821.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12808656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97711 + ... + 97841.

Almost surely, 2^12808656 is an apocalyptic number.

12808656 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 12808656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20852832).

12808656 is an abundant number, since it is smaller than the sum of its proper divisors (28897008).

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

12808656 is a wasteful number, since it uses less digits than its factorization.

12808656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 12808656 is about 3578.9182723275. The cubic root of 12808656 is about 233.9741369619.

It can be divided in two parts, 12808 and 656, that multiplied together give a palindrome (8402048).

The spelling of 12808656 in words is "twelve million, eight hundred eight thousand, six hundred fifty-six".