14400168 has 32 divisors (see below), whose sum is σ = 36439200. Its totient is φ = 4741568.

The previous prime is 14400137. The next prime is 14400187. The reversal of 14400168 is 86100441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1623 + ... + 5606.

It is an arithmetic number, because the mean of its divisors is an integer number (1138725).

Almost surely, 2^14400168 is an apocalyptic number.

It is an amenable number.

14400168 is an abundant number, since it is smaller than the sum of its proper divisors (22039032).

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

14400168 is a wasteful number, since it uses less digits than its factorization.

14400168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7321 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14400168 is about 3794.7553280811. The cubic root of 14400168 is about 243.2890259396.

The spelling of 14400168 in words is "fourteen million, four hundred thousand, one hundred sixty-eight".