14191968 has 96 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 4045440.

The previous prime is 14191939. The next prime is 14191981. The reversal of 14191968 is 86919141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32713 + ... + 33143.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 2^14191968 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 14191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

14191968 is an abundant number, since it is smaller than the sum of its proper divisors (29353632).

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

14191968 is an equidigital number, since it uses as much as digits as its factorization.

14191968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 443 counting only the distinct ones).

The product of its digits is 15552, while the sum is 39.

The square root of 14191968 is about 3767.2228497927. Note that the first 3 decimals coincide. The cubic root of 14191968 is about 242.1108250903.

The spelling of 14191968 in words is "fourteen million, one hundred ninety-one thousand, nine hundred sixty-eight".