12965696 has 42 divisors (see below), whose sum is σ = 27370278. Its totient is φ = 6092800.

The previous prime is 12965671. The next prime is 12965707. The reversal of 12965696 is 69656921.

It can be written as a sum of positive squares in 3 ways, for example, as 7840000 + 5125696 = 2800^2 + 2264^2 .

It is a super-3 number, since 3×12965696³ (a number of 22 digits) contains 333 as substring.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (174960) is a multiple of the sum of its prime divisors (720).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 18146 + ... + 18846.

Almost surely, 2^12965696 is an apocalyptic number.

12965696 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 12965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13685139).

12965696 is an abundant number, since it is smaller than the sum of its proper divisors (14404582).

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

12965696 is an equidigital number, since it uses as much as digits as its factorization.

12965696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 720 counting only the distinct ones).

The product of its digits is 174960, while the sum is 44.

The square root of 12965696 is about 3600.7910242057. The cubic root of 12965696 is about 234.9264655998.

The spelling of 12965696 in words is "twelve million, nine hundred sixty-five thousand, six hundred ninety-six".