12682656 has 144 divisors (see below), whose sum is σ = 42928704. Its totient is φ = 3608064.

The previous prime is 12682651. The next prime is 12682667. The reversal of 12682656 is 65628621.

It is a tau number, because it is divible by the number of its divisors (144).

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 12682656.

It is not an unprimeable number, because it can be changed into a prime (12682651) 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, 54316 + ... + 54548.

It is an arithmetic number, because the mean of its divisors is an integer number (298116).

Almost surely, 2^12682656 is an apocalyptic number.

12682656 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 12682656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21464352).

12682656 is an abundant number, since it is smaller than the sum of its proper divisors (30246048).

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

12682656 is an equidigital number, since it uses as much as digits as its factorization.

12682656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 245 counting only the distinct ones).

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

The square root of 12682656 is about 3561.2716829807. The cubic root of 12682656 is about 233.2043986080.

The spelling of 12682656 in words is "twelve million, six hundred eighty-two thousand, six hundred fifty-six".