14007168 has 160 divisors (see below), whose sum is σ = 47886960. Its totient is φ = 3981312.

The previous prime is 14007157. The next prime is 14007181. The reversal of 14007168 is 86170041.

It is a happy number.

14007168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72480 + ... + 72672.

Almost surely, 2^14007168 is an apocalyptic number.

14007168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23943480).

14007168 is an abundant number, since it is smaller than the sum of its proper divisors (33879792).

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

14007168 is an equidigital number, since it uses as much as digits as its factorization.

14007168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 14007168 is about 3742.6151284897. The cubic root of 14007168 is about 241.0553524941.

The spelling of 14007168 in words is "fourteen million, seven thousand, one hundred sixty-eight".