198238800 has 180 divisors, whose sum is σ = 664612224. Its totient is φ = 50457600.

The previous prime is 198238787. The next prime is 198238823. The reversal of 198238800 is 8832891.

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, 2715564 + ... + 2715636.

Almost surely, 2^198238800 is an apocalyptic number.

198238800 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 198238800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332306112).

198238800 is an abundant number, since it is smaller than the sum of its proper divisors (466373424).

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

198238800 is a wasteful number, since it uses less digits than its factorization.

198238800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 198238800 is about 14079.7301110497. The cubic root of 198238800 is about 583.0818907256.

The spelling of 198238800 in words is "one hundred ninety-eight million, two hundred thirty-eight thousand, eight hundred".