14891968 has 56 divisors (see below), whose sum is σ = 36384992. Its totient is φ = 5889024.

The previous prime is 14891959. The next prime is 14891977. The reversal of 14891968 is 86919841.

14891968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14891959) and next prime (14891977).

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

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, 4546 + ... + 7102.

It is an arithmetic number, because the mean of its divisors is an integer number (649732).

Almost surely, 2^14891968 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 14891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192496).

14891968 is an abundant number, since it is smaller than the sum of its proper divisors (21493024).

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

14891968 is a wasteful number, since it uses less digits than its factorization.

14891968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2579 counting only the distinct ones).

The product of its digits is 124416, while the sum is 46.

The square root of 14891968 is about 3859.0112723339. The cubic root of 14891968 is about 246.0277140654.

The spelling of 14891968 in words is "fourteen million, eight hundred ninety-one thousand, nine hundred sixty-eight".