14004688 has 20 divisors (see below), whose sum is σ = 27336420. Its totient is φ = 6950144.

The previous prime is 14004649. The next prime is 14004707. The reversal of 14004688 is 88640041.

14004688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2795584 + 11209104 = 1672^2 + 3348^2 .

It is a super-3 number, since 3×14004688³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1003 + ... + 5386.

It is an arithmetic number, because the mean of its divisors is an integer number (1366821).

Almost surely, 2^14004688 is an apocalyptic number.

It is an amenable number.

14004688 is a deficient number, since it is larger than the sum of its proper divisors (13331732).

14004688 is a wasteful number, since it uses less digits than its factorization.

14004688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6534 (or 6528 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 31.

The square root of 14004688 is about 3742.2837946901. The cubic root of 14004688 is about 241.0411251937.

The spelling of 14004688 in words is "fourteen million, four thousand, six hundred eighty-eight".