13185664 has 32 divisors (see below), whose sum is σ = 27123840. Its totient is φ = 6378240.

The previous prime is 13185661. The next prime is 13185671. The reversal of 13185664 is 46658131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (13185661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2307 + ... + 5629.

It is an arithmetic number, because the mean of its divisors is an integer number (847620).

Almost surely, 2^13185664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13185664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13561920).

13185664 is an abundant number, since it is smaller than the sum of its proper divisors (13938176).

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

13185664 is an equidigital number, since it uses as much as digits as its factorization.

13185664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3356 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 13185664 is about 3631.2069618792. The cubic root of 13185664 is about 236.2475617266.

The spelling of 13185664 in words is "thirteen million, one hundred eighty-five thousand, six hundred sixty-four".