12968585 has 24 divisors (see below), whose sum is σ = 18539136. Its totient is φ = 8678880.

The previous prime is 12968581. The next prime is 12968617. The reversal of 12968585 is 58586921.

It is not a de Polignac number, because 12968585 - 2² = 12968581 is a prime.

It is a super-3 number, since 3×12968585³ (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (12968581) 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 23 ways as a sum of consecutive naturals, for example, 9920 + ... + 11150.

It is an arithmetic number, because the mean of its divisors is an integer number (772464).

Almost surely, 2^12968585 is an apocalyptic number.

It is an amenable number.

12968585 is a deficient number, since it is larger than the sum of its proper divisors (5570551).

12968585 is a wasteful number, since it uses less digits than its factorization.

12968585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1286 counting only the distinct ones).

The product of its digits is 172800, while the sum is 44.

The square root of 12968585 is about 3601.1921637147. The cubic root of 12968585 is about 234.9439129767.

The spelling of 12968585 in words is "twelve million, nine hundred sixty-eight thousand, five hundred eighty-five".