12612736 has 32 divisors (see below), whose sum is σ = 25300080. Its totient is φ = 6263040.

The previous prime is 12612727. The next prime is 12612749. The reversal of 12612736 is 63721621.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×12612736² = 318162218811392, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26775 + ... + 27241.

Almost surely, 2^12612736 is an apocalyptic number.

12612736 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 12612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650040).

12612736 is an abundant number, since it is smaller than the sum of its proper divisors (12687344).

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

12612736 is an equidigital number, since it uses as much as digits as its factorization.

12612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 12612736 is about 3551.4413975174. The cubic root of 12612736 is about 232.7750535181.

It can be divided in two parts, 126 and 12736, that multiplied together give a triangular number (1604736 = T₁₇₉₁).

The spelling of 12612736 in words is "twelve million, six hundred twelve thousand, seven hundred thirty-six".