18799200 has 216 divisors, whose sum is σ = 75963888. Its totient is φ = 4285440.

The previous prime is 18799199. The next prime is 18799223. The reversal of 18799200 is 299781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 50214 + ... + 50586.

Almost surely, 2^18799200 is an apocalyptic number.

18799200 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 18799200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37981944).

18799200 is an abundant number, since it is smaller than the sum of its proper divisors (57164688).

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

18799200 is a wasteful number, since it uses less digits than its factorization.

18799200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 18799200 is about 4335.8044236335. The cubic root of 18799200 is about 265.8968073540.

The spelling of 18799200 in words is "eighteen million, seven hundred ninety-nine thousand, two hundred".