14002968 has 64 divisors (see below), whose sum is σ = 42370560. Its totient is φ = 3764736.

The previous prime is 14002939. The next prime is 14002997. The reversal of 14002968 is 86920041.

14002968 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 (14002939) and next prime (14002997).

It is a super-2 number, since 2×14002968² = 392166225618048, which contains 22 as substring.

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, 405 + ... + 5307.

It is an arithmetic number, because the mean of its divisors is an integer number (662040).

Almost surely, 2^14002968 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 14002968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185280).

14002968 is an abundant number, since it is smaller than the sum of its proper divisors (28367592).

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

14002968 is a wasteful number, since it uses less digits than its factorization.

14002968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4932 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 14002968 is about 3742.0539814385. The cubic root of 14002968 is about 241.0312568861.

The spelling of 14002968 in words is "fourteen million, two thousand, nine hundred sixty-eight".