14668992 has 112 divisors (see below), whose sum is σ = 46512480. Its totient is φ = 4506624.

The previous prime is 14668961. The next prime is 14668999. The reversal of 14668992 is 29986641.

It is a happy number.

14668992 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14668999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22138 + ... + 22790.

It is an arithmetic number, because the mean of its divisors is an integer number (415290).

Almost surely, 2^14668992 is an apocalyptic number.

14668992 is a gapful number since it is divisible by the number (12) 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 14668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23256240).

14668992 is an abundant number, since it is smaller than the sum of its proper divisors (31843488).

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

14668992 is a wasteful number, since it uses less digits than its factorization.

14668992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

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

The square root of 14668992 is about 3830.0120104250. The cubic root of 14668992 is about 244.7936176729.

The spelling of 14668992 in words is "fourteen million, six hundred sixty-eight thousand, nine hundred ninety-two".