13984768 has 44 divisors (see below), whose sum is σ = 31965952. Its totient is φ = 5990400.

The previous prime is 13984723. The next prime is 13984769. The reversal of 13984768 is 86748931.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13984769) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6193 + ... + 8143.

Almost surely, 2^13984768 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 13984768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15982976).

13984768 is an abundant number, since it is smaller than the sum of its proper divisors (17981184).

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

13984768 is an equidigital number, since it uses as much as digits as its factorization.

13984768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1960 counting only the distinct ones).

The product of its digits is 290304, while the sum is 46.

The square root of 13984768 is about 3739.6213712086. The cubic root of 13984768 is about 240.9267868723.

The spelling of 13984768 in words is "thirteen million, nine hundred eighty-four thousand, seven hundred sixty-eight".