12664736 has 72 divisors (see below), whose sum is σ = 29862756. Its totient is φ = 5268480.

The previous prime is 12664733. The next prime is 12664741. The reversal of 12664736 is 63746621.

It can be written as a sum of positive squares in 2 ways, for example, as 12645136 + 19600 = 3556^2 + 140^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12664696 and 12664705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12664733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64190 + ... + 64386.

Almost surely, 2^12664736 is an apocalyptic number.

12664736 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 12664736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14931378).

12664736 is an abundant number, since it is smaller than the sum of its proper divisors (17198020).

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

12664736 is a wasteful number, since it uses less digits than its factorization.

12664736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 247 counting only the distinct ones).

The product of its digits is 36288, while the sum is 35.

The square root of 12664736 is about 3558.7548384231. The cubic root of 12664736 is about 233.0945111989.

It can be divided in two parts, 126 and 64736, that multiplied together give a square (8156736 = 2856²).

The spelling of 12664736 in words is "twelve million, six hundred sixty-four thousand, seven hundred thirty-six".