14400684 has 36 divisors (see below), whose sum is σ = 36540504. Its totient is φ = 4781952.

The previous prime is 14400679. The next prime is 14400707. The reversal of 14400684 is 48600441.

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11539 + ... + 12725.

It is an arithmetic number, because the mean of its divisors is an integer number (1015014).

Almost surely, 2^14400684 is an apocalyptic number.

It is an amenable number.

14400684 is an abundant number, since it is smaller than the sum of its proper divisors (22139820).

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

14400684 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (14400683) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1534).

14400684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14400684 is about 3794.8233160452. The cubic root of 14400684 is about 243.2919318232.

The spelling of 14400684 in words is "fourteen million, four hundred thousand, six hundred eighty-four".