14379264 has 81 divisors (see below), whose sum is σ = 41990403. Its totient is φ = 4732416.

The previous prime is 14379251. The next prime is 14379283. The reversal of 14379264 is 46297341.

The square root of 14379264 is 3792.

It is a perfect power (a square), and thus also a powerful number.

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

Its product of digits (36288) is a multiple of the sum of its prime divisors (84).

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 181977 + ... + 182055.

Almost surely, 2^14379264 is an apocalyptic number.

14379264 is the 3792-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14379264

14379264 is an abundant number, since it is smaller than the sum of its proper divisors (27611139).

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

14379264 is an frugal number, since it uses more digits than its factorization.

14379264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 84 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The cubic root of 14379264 is about 243.1712454462.

Multiplying 14379264 by its sum of digits (36), we get a square (517653504 = 22752²).

14379264 divided by its sum of digits (36) gives a square (399424 = 632²).

It can be divided in two parts, 1437 and 9264, that added together give a palindrome (10701).

The spelling of 14379264 in words is "fourteen million, three hundred seventy-nine thousand, two hundred sixty-four".