13712864 has 48 divisors (see below), whose sum is σ = 29756160. Its totient is φ = 6168960.

The previous prime is 13712837. The next prime is 13712873. The reversal of 13712864 is 46821731.

13712864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13712864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57257 + ... + 57495.

It is an arithmetic number, because the mean of its divisors is an integer number (619920).

Almost surely, 2^13712864 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 13712864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14878080).

13712864 is an abundant number, since it is smaller than the sum of its proper divisors (16043296).

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

13712864 is a wasteful number, since it uses less digits than its factorization.

13712864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 415 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 13712864 is about 3703.0884407478. The cubic root of 13712864 is about 239.3551206146.

The spelling of 13712864 in words is "thirteen million, seven hundred twelve thousand, eight hundred sixty-four".