14993664 has 72 divisors (see below), whose sum is σ = 45622080. Its totient is φ = 4282368.

The previous prime is 14993663. The next prime is 14993681. The reversal of 14993664 is 46639941.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (14993663) 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, 3982 + ... + 6770.

It is an arithmetic number, because the mean of its divisors is an integer number (633640).

Almost surely, 2^14993664 is an apocalyptic number.

14993664 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 14993664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22811040).

14993664 is an abundant number, since it is smaller than the sum of its proper divisors (30628416).

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

14993664 is an equidigital number, since it uses as much as digits as its factorization.

14993664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2815 (or 2801 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 14993664 is about 3872.1652857284. The cubic root of 14993664 is about 246.5864782767.

The spelling of 14993664 in words is "fourteen million, nine hundred ninety-three thousand, six hundred sixty-four".