13884864 has 56 divisors (see below), whose sum is σ = 41989248. Its totient is φ = 3966720.

The previous prime is 13884853. The next prime is 13884889. The reversal of 13884864 is 46848831.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3822 + ... + 6509.

It is an arithmetic number, because the mean of its divisors is an integer number (749808).

Almost surely, 2^13884864 is an apocalyptic number.

13884864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13884864 is an abundant number, since it is smaller than the sum of its proper divisors (28104384).

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

13884864 is a wasteful number, since it uses less digits than its factorization.

13884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10353 (or 10343 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 13884864 is about 3726.2399278629. The cubic root of 13884864 is about 240.3517065642.

The spelling of 13884864 in words is "thirteen million, eight hundred eighty-four thousand, eight hundred sixty-four".