13920864 has 24 divisors (see below), whose sum is σ = 36542520. Its totient is φ = 4640256.

The previous prime is 13920859. The next prime is 13920877. The reversal of 13920864 is 46802931.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72409 + ... + 72600.

It is an arithmetic number, because the mean of its divisors is an integer number (1522605).

Almost surely, 2^13920864 is an apocalyptic number.

It is an amenable number.

13920864 is an abundant number, since it is smaller than the sum of its proper divisors (22621656).

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

13920864 is a wasteful number, since it uses less digits than its factorization.

13920864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145022 (or 145014 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 13920864 is about 3731.0674075926. The cubic root of 13920864 is about 240.5592513679.

The spelling of 13920864 in words is "thirteen million, nine hundred twenty thousand, eight hundred sixty-four".