14915264 has 84 divisors (see below), whose sum is σ = 36813744. Its totient is φ = 5870592.

The previous prime is 14915231. The next prime is 14915269. The reversal of 14915264 is 46251941.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 14915264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14915269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75614 + ... + 75810.

Almost surely, 2^14915264 is an apocalyptic number.

14915264 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 14915264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18406872).

14915264 is an abundant number, since it is smaller than the sum of its proper divisors (21898480).

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

14915264 is a wasteful number, since it uses less digits than its factorization.

14915264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 14915264 is about 3862.0284825464. The cubic root of 14915264 is about 246.1559370015.

The spelling of 14915264 in words is "fourteen million, nine hundred fifteen thousand, two hundred sixty-four".