14813968 has 40 divisors (see below), whose sum is σ = 31400768. Its totient is φ = 6728832.

The previous prime is 14813959. The next prime is 14813971. The reversal of 14813968 is 86931841.

It is a self number, because there is not a number n which added to its sum of digits gives 14813968.

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, 13405 + ... + 14467.

Almost surely, 2^14813968 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 14813968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700384).

14813968 is an abundant number, since it is smaller than the sum of its proper divisors (16586800).

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

14813968 is a wasteful number, since it uses less digits than its factorization.

14813968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1145 counting only the distinct ones).

The product of its digits is 41472, while the sum is 40.

The square root of 14813968 is about 3848.8917885542. The cubic root of 14813968 is about 245.5974202815.

The spelling of 14813968 in words is "fourteen million, eight hundred thirteen thousand, nine hundred sixty-eight".