12965904 has 120 divisors (see below), whose sum is σ = 43717440. Its totient is φ = 3504384.

The previous prime is 12965879. The next prime is 12965921. The reversal of 12965904 is 40956921.

It is a super-2 number, since 2×12965904² = 336229333074432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18814 + ... + 19490.

It is an arithmetic number, because the mean of its divisors is an integer number (364312).

Almost surely, 2^12965904 is an apocalyptic number.

12965904 is a gapful number since it is divisible by the number (14) 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 12965904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21858720).

12965904 is an abundant number, since it is smaller than the sum of its proper divisors (30751536).

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

12965904 is a wasteful number, since it uses less digits than its factorization.

12965904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 12965904 is about 3600.8199066324. The cubic root of 12965904 is about 234.9277218492.

The spelling of 12965904 in words is "twelve million, nine hundred sixty-five thousand, nine hundred four".