14082688 has 32 divisors (see below), whose sum is σ = 28228500. Its totient is φ = 6998016.

The previous prime is 14082671. The next prime is 14082689. The reversal of 14082688 is 88628041.

It can be written as a sum of positive squares in 2 ways, for example, as 14077504 + 5184 = 3752^2 + 72^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (14082689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34228 + ... + 34636.

Almost surely, 2^14082688 is an apocalyptic number.

It is an amenable number.

14082688 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

14082688 is an equidigital number, since it uses as much as digits as its factorization.

14082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 37.

The square root of 14082688 is about 3752.6907679690. The cubic root of 14082688 is about 241.4877949215.

It can be divided in two parts, 1408 and 2688, that added together give a 12-th power (4096 = 2¹²).

The spelling of 14082688 in words is "fourteen million, eighty-two thousand, six hundred eighty-eight".