12626856 has 96 divisors (see below), whose sum is σ = 37908000. Its totient is φ = 3765120.

The previous prime is 12626851. The next prime is 12626857. The reversal of 12626856 is 65862621.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 12626856.

It is not an unprimeable number, because it can be changed into a prime (12626851) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84670 + ... + 84818.

It is an arithmetic number, because the mean of its divisors is an integer number (394875).

Almost surely, 2^12626856 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 12626856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954000).

12626856 is an abundant number, since it is smaller than the sum of its proper divisors (25281144).

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

12626856 is a wasteful number, since it uses less digits than its factorization.

12626856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 12626856 is about 3553.4287666984. The cubic root of 12626856 is about 232.8618852729.

It can be divided in two parts, 1262 and 6856, that added together give a palindrome (8118).

The spelling of 12626856 in words is "twelve million, six hundred twenty-six thousand, eight hundred fifty-six".