14684960 has 24 divisors (see below), whose sum is σ = 34693596. Its totient is φ = 5873920.

The previous prime is 14684953. The next prime is 14684963. The reversal of 14684960 is 6948641.

It can be written as a sum of positive squares in 2 ways, for example, as 14227984 + 456976 = 3772^2 + 676^2 .

It is not an unprimeable number, because it can be changed into a prime (14684963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45731 + ... + 46050.

Almost surely, 2^14684960 is an apocalyptic number.

14684960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14684960 is an abundant number, since it is smaller than the sum of its proper divisors (20008636).

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

14684960 is an equidigital number, since it uses as much as digits as its factorization.

14684960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91796 (or 91788 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 14684960 is about 3832.0960321996. The cubic root of 14684960 is about 244.8824092092.

The spelling of 14684960 in words is "fourteen million, six hundred eighty-four thousand, nine hundred sixty".