14779968 has 84 divisors (see below), whose sum is σ = 45518832. Its totient is φ = 4220160.

The previous prime is 14779957. The next prime is 14779979. The reversal of 14779968 is 86997741.

It is an interprime number because it is at equal distance from previous prime (14779957) and next prime (14779979).

It is a tau number, because it is divible by the number of its divisors (84).

It is a self number, because there is not a number n which added to its sum of digits gives 14779968.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8623 + ... + 10193.

Almost surely, 2^14779968 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 14779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22759416).

14779968 is an abundant number, since it is smaller than the sum of its proper divisors (30738864).

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

14779968 is a wasteful number, since it uses less digits than its factorization.

14779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1600 (or 1583 counting only the distinct ones).

The product of its digits is 762048, while the sum is 51.

The square root of 14779968 is about 3844.4723955310. The cubic root of 14779968 is about 245.4093835853.

The spelling of 14779968 in words is "fourteen million, seven hundred seventy-nine thousand, nine hundred sixty-eight".