14668200 has 144 divisors (see below), whose sum is σ = 51140700. Its totient is φ = 3763200.

The previous prime is 14668187. The next prime is 14668211. The reversal of 14668200 is 286641.

It can be written as a sum of positive squares in 6 ways, for example, as 6749604 + 7918596 = 2598^2 + 2814^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52060 + ... + 52340.

Almost surely, 2^14668200 is an apocalyptic number.

14668200 is a gapful number since it is divisible by the number (10) 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 14668200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25570350).

14668200 is an abundant number, since it is smaller than the sum of its proper divisors (36472500).

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

14668200 is a wasteful number, since it uses less digits than its factorization.

14668200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 14668200 is about 3829.9086150978. The cubic root of 14668200 is about 244.7892120070.

The spelling of 14668200 in words is "fourteen million, six hundred sixty-eight thousand, two hundred".