198720600 has 192 divisors, whose sum is σ = 674436000. Its totient is φ = 48107520.

The previous prime is 198720589. The next prime is 198720607. The reversal of 198720600 is 6027891.

198720600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198720607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 569226 + ... + 569574.

Almost surely, 2^198720600 is an apocalyptic number.

198720600 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 198720600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337218000).

198720600 is an abundant number, since it is smaller than the sum of its proper divisors (475715400).

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

198720600 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (198720599) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (445).

198720600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 198720600 is about 14096.8294307621. The cubic root of 198720600 is about 583.5538830428.

The spelling of 198720600 in words is "one hundred ninety-eight million, seven hundred twenty thousand, six hundred".