14640264 has 96 divisors (see below), whose sum is σ = 43636320. Its totient is φ = 4582656.

The previous prime is 14640257. The next prime is 14640289. The reversal of 14640264 is 46204641.

14640264 is a `hidden beast` number, since 14 + 640 + 2 + 6 + 4 = 666.

14640264 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 a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32827 + ... + 33269.

It is an arithmetic number, because the mean of its divisors is an integer number (454545).

Almost surely, 2^14640264 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 14640264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818160).

14640264 is an abundant number, since it is smaller than the sum of its proper divisors (28996056).

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

14640264 is a wasteful number, since it uses less digits than its factorization.

14640264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 14640264 is about 3826.2597925389. The cubic root of 14640264 is about 244.6337105968.

The spelling of 14640264 in words is "fourteen million, six hundred forty thousand, two hundred sixty-four".