14267968 has 56 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 5982720.

The previous prime is 14267927. The next prime is 14267983. The reversal of 14267968 is 86976241.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8373 + ... + 9931.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 2^14267968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14267968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

14267968 is an abundant number, since it is smaller than the sum of its proper divisors (19016192).

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

14267968 is a wasteful number, since it uses less digits than its factorization.

14267968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1585 counting only the distinct ones).

The product of its digits is 145152, while the sum is 43.

The square root of 14267968 is about 3777.2963876296. The cubic root of 14267968 is about 242.5422351774.

The spelling of 14267968 in words is "fourteen million, two hundred sixty-seven thousand, nine hundred sixty-eight".