12656736 has 120 divisors (see below), whose sum is σ = 39334680. Its totient is φ = 3981312.

The previous prime is 12656713. The next prime is 12656737. The reversal of 12656736 is 63765621.

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 12656736.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12656737) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49120 + ... + 49376.

It is an arithmetic number, because the mean of its divisors is an integer number (327789).

Almost surely, 2^12656736 is an apocalyptic number.

12656736 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 12656736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19667340).

12656736 is an abundant number, since it is smaller than the sum of its proper divisors (26677944).

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

12656736 is a wasteful number, since it uses less digits than its factorization.

12656736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 12656736 is about 3557.6306722312. The cubic root of 12656736 is about 233.0454208516.

Adding to 12656736 its product of digits (45360), we get a square (12702096 = 3564²).

It can be divided in two parts, 1265 and 6736, that added together give a triangular number (8001 = T₁₂₆).

The spelling of 12656736 in words is "twelve million, six hundred fifty-six thousand, seven hundred thirty-six".