12628656 has 160 divisors (see below), whose sum is σ = 39997440. Its totient is φ = 3801600.

The previous prime is 12628613. The next prime is 12628657. The reversal of 12628656 is 65682621.

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 12628656.

It is not an unprimeable number, because it can be changed into a prime (12628657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 307996 + ... + 308036.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 2^12628656 is an apocalyptic number.

12628656 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 12628656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19998720).

12628656 is an abundant number, since it is smaller than the sum of its proper divisors (27368784).

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

12628656 is a wasteful number, since it uses less digits than its factorization.

12628656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

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

The square root of 12628656 is about 3553.6820341724. The cubic root of 12628656 is about 232.8729498239.

It can be divided in two parts, 126 and 28656, that added together give a palindrome (28782).

The spelling of 12628656 in words is "twelve million, six hundred twenty-eight thousand, six hundred fifty-six".