13997664 has 96 divisors (see below), whose sum is σ = 43273440. Its totient is φ = 4386816.

The previous prime is 13997663. The next prime is 13997689. The reversal of 13997664 is 46679931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13997663) by changing a digit.

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, 14212 + ... + 15164.

It is an arithmetic number, because the mean of its divisors is an integer number (450765).

Almost surely, 2^13997664 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 13997664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21636720).

13997664 is an abundant number, since it is smaller than the sum of its proper divisors (29275776).

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

13997664 is a wasteful number, since it uses less digits than its factorization.

13997664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 975 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 13997664 is about 3741.3452126207. The cubic root of 13997664 is about 241.0008206901. Note that the first 3 decimals are identical.

The spelling of 13997664 in words is "thirteen million, nine hundred ninety-seven thousand, six hundred sixty-four".