14117664 has 96 divisors (see below), whose sum is σ = 41912640. Its totient is φ = 4121600.

The previous prime is 14117659. The next prime is 14117669. The reversal of 14117664 is 46671141.

14117664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14117659) and next prime (14117669).

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

It is not an unprimeable number, because it can be changed into a prime (14117669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30394 + ... + 30854.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 2^14117664 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 14117664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20956320).

14117664 is an abundant number, since it is smaller than the sum of its proper divisors (27794976).

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

14117664 is a wasteful number, since it uses less digits than its factorization.

14117664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 506 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 14117664 is about 3757.3480009177. The cubic root of 14117664 is about 241.6875506856.

The spelling of 14117664 in words is "fourteen million, one hundred seventeen thousand, six hundred sixty-four".