13885664 has 48 divisors (see below), whose sum is σ = 30481920. Its totient is φ = 6182400.

The previous prime is 13885649. The next prime is 13885679. The reversal of 13885664 is 46658831.

It is an interprime number because it is at equal distance from previous prime (13885649) and next prime (13885679).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11489 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (635040).

Almost surely, 2^13885664 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 13885664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15240960).

13885664 is an abundant number, since it is smaller than the sum of its proper divisors (16596256).

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

13885664 is a wasteful number, since it uses less digits than its factorization.

13885664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203 (or 1195 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 13885664 is about 3726.3472731349. The cubic root of 13885664 is about 240.3563225660.

The spelling of 13885664 in words is "thirteen million, eight hundred eighty-five thousand, six hundred sixty-four".