14496960 has 56 divisors (see below), whose sum is σ = 46030896. Its totient is φ = 3865600.

The previous prime is 14496959. The next prime is 14496961. The reversal of 14496960 is 6969441.

It is an interprime number because it is at equal distance from previous prime (14496959) and next prime (14496961).

It is not an unprimeable number, because it can be changed into a prime (14496961) 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 7 ways as a sum of consecutive naturals, for example, 6591 + ... + 8510.

Almost surely, 2^14496960 is an apocalyptic number.

14496960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14496960 is an abundant number, since it is smaller than the sum of its proper divisors (31533936).

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

14496960 is a wasteful number, since it uses less digits than its factorization.

14496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15121 (or 15111 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 14496960 is about 3807.4873604518. The cubic root of 14496960 is about 243.8329053949.

The spelling of 14496960 in words is "fourteen million, four hundred ninety-six thousand, nine hundred sixty".