12965640 has 64 divisors (see below), whose sum is σ = 39312000. Its totient is φ = 3420672.

The previous prime is 12965633. The next prime is 12965671. The reversal of 12965640 is 4656921.

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 15 ways as a sum of consecutive naturals, for example, 11836 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^12965640 is an apocalyptic number.

12965640 is a gapful number since it is divisible by the number (10) 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 12965640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

12965640 is an abundant number, since it is smaller than the sum of its proper divisors (26346360).

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

12965640 is a wasteful number, since it uses less digits than its factorization.

12965640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 12965640 is about 3600.7832481281. The cubic root of 12965640 is about 234.9261273765.

The spelling of 12965640 in words is "twelve million, nine hundred sixty-five thousand, six hundred forty".