14968896 has 56 divisors (see below), whose sum is σ = 40379904. Its totient is φ = 4892160.

The previous prime is 14968879. The next prime is 14968897. The reversal of 14968896 is 69886941.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14968897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9441 + ... + 10911.

Almost surely, 2^14968896 is an apocalyptic number.

14968896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20189952).

14968896 is an abundant number, since it is smaller than the sum of its proper divisors (25411008).

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

14968896 is a wasteful number, since it uses less digits than its factorization.

14968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

The product of its digits is 746496, while the sum is 51.

The square root of 14968896 is about 3868.9657532731. The cubic root of 14968896 is about 246.4506248934.

The spelling of 14968896 in words is "fourteen million, nine hundred sixty-eight thousand, eight hundred ninety-six".