13085664 has 24 divisors (see below), whose sum is σ = 34350120. Its totient is φ = 4361856.

The previous prime is 13085663. The next prime is 13085671. The reversal of 13085664 is 46658031.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13085663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68059 + ... + 68250.

It is an arithmetic number, because the mean of its divisors is an integer number (1431255).

Almost surely, 2^13085664 is an apocalyptic number.

It is an amenable number.

13085664 is an abundant number, since it is smaller than the sum of its proper divisors (21264456).

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

13085664 is a wasteful number, since it uses less digits than its factorization.

13085664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136322 (or 136314 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 13085664 is about 3617.4112290421. The cubic root of 13085664 is about 235.6488121446.

The spelling of 13085664 in words is "thirteen million, eighty-five thousand, six hundred sixty-four".