12746656 has 36 divisors (see below), whose sum is σ = 27185382. Its totient is φ = 5880576.

The previous prime is 12746653. The next prime is 12746677. The reversal of 12746656 is 65664721.

It is a happy number.

12746656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 4243600 + 8503056 = 2060^2 + 2916^2 .

It is not an unprimeable number, because it can be changed into a prime (12746653) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4230 + ... + 6586.

Almost surely, 2^12746656 is an apocalyptic number.

12746656 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 12746656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13592691).

12746656 is an abundant number, since it is smaller than the sum of its proper divisors (14438726).

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

12746656 is a wasteful number, since it uses less digits than its factorization.

12746656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2393 (or 2372 counting only the distinct ones).

The product of its digits is 60480, while the sum is 37.

The square root of 12746656 is about 3570.2459299045. The cubic root of 12746656 is about 233.5960107532.

It can be divided in two parts, 1274 and 6656, that multiplied together give a square (8479744 = 2912²).

The spelling of 12746656 in words is "twelve million, seven hundred forty-six thousand, six hundred fifty-six".