13873664 has 80 divisors (see below), whose sum is σ = 32736000. Its totient is φ = 5870592.

The previous prime is 13873661. The next prime is 13873679. The reversal of 13873664 is 46637831.

It is not an unprimeable number, because it can be changed into a prime (13873661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175577 + ... + 175655.

It is an arithmetic number, because the mean of its divisors is an integer number (409200).

Almost surely, 2^13873664 is an apocalyptic number.

13873664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13873664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368000).

13873664 is an abundant number, since it is smaller than the sum of its proper divisors (18862336).

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

13873664 is an frugal number, since it uses more digits than its factorization.

13873664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 88 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 13873664 is about 3724.7367692228. The cubic root of 13873664 is about 240.2870639135.

The spelling of 13873664 in words is "thirteen million, eight hundred seventy-three thousand, six hundred sixty-four".