14968296 has 96 divisors (see below), whose sum is σ = 49083840. Its totient is φ = 4022784.

The previous prime is 14968277. The next prime is 14968307. The reversal of 14968296 is 69286941.

It is a happy number.

14968296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7695 + ... + 9441.

It is an arithmetic number, because the mean of its divisors is an integer number (511290).

Almost surely, 2^14968296 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 14968296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24541920).

14968296 is an abundant number, since it is smaller than the sum of its proper divisors (34115544).

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

14968296 is a wasteful number, since it uses less digits than its factorization.

14968296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1783 (or 1776 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 14968296 is about 3868.8882123938. Note that the first 3 decimals coincide. The cubic root of 14968296 is about 246.4473320131.

The spelling of 14968296 in words is "fourteen million, nine hundred sixty-eight thousand, two hundred ninety-six".