13722864 has 80 divisors (see below), whose sum is σ = 38330880. Its totient is φ = 4216320.

The previous prime is 13722851. The next prime is 13722889. The reversal of 13722864 is 46822731.

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 15 ways as a sum of consecutive naturals, for example, 37209 + ... + 37575.

It is an arithmetic number, because the mean of its divisors is an integer number (479136).

Almost surely, 2^13722864 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 13722864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19165440).

13722864 is an abundant number, since it is smaller than the sum of its proper divisors (24608016).

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

13722864 is a wasteful number, since it uses less digits than its factorization.

13722864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 432 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 13722864 is about 3704.4384189780. The cubic root of 13722864 is about 239.4132891007.

The spelling of 13722864 in words is "thirteen million, seven hundred twenty-two thousand, eight hundred sixty-four".