14753664 has 80 divisors (see below), whose sum is σ = 43937520. Its totient is φ = 4914432.

The previous prime is 14753659. The next prime is 14753681. The reversal of 14753664 is 46635741.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9657 + ... + 11079.

It is an arithmetic number, because the mean of its divisors is an integer number (549219).

Almost surely, 2^14753664 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 14753664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21968760).

14753664 is an abundant number, since it is smaller than the sum of its proper divisors (29183856).

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

14753664 is an equidigital number, since it uses as much as digits as its factorization.

14753664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1428 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 14753664 is about 3841.0498564846. The cubic root of 14753664 is about 245.2637116033.

The spelling of 14753664 in words is "fourteen million, seven hundred fifty-three thousand, six hundred sixty-four".