14198800 has 120 divisors (see below), whose sum is σ = 42622272. Its totient is φ = 4416000.

The previous prime is 14198783. The next prime is 14198827. The reversal of 14198800 is 889141.

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, 30570 + ... + 31030.

Almost surely, 2^14198800 is an apocalyptic number.

14198800 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 14198800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21311136).

14198800 is an abundant number, since it is smaller than the sum of its proper divisors (28423472).

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

14198800 is a wasteful number, since it uses less digits than its factorization.

14198800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 14198800 is about 3768.1295094516. The cubic root of 14198800 is about 242.1496694986.

The spelling of 14198800 in words is "fourteen million, one hundred ninety-eight thousand, eight hundred".