198489920 has 112 divisors (see below), whose sum is σ = 497342160. Its totient is φ = 75350016.

The previous prime is 198489901. The next prime is 198489997. The reversal of 198489920 is 29984891.

It is a happy number.

198489920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 12222016 + 186267904 = 3496^2 + 13648^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677294 + ... + 677586.

It is an arithmetic number, because the mean of its divisors is an integer number (4440555).

Almost surely, 2^198489920 is an apocalyptic number.

198489920 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 198489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248671080).

198489920 is an abundant number, since it is smaller than the sum of its proper divisors (298852240).

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

198489920 is a wasteful number, since it uses less digits than its factorization.

198489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 50.

The square root of 198489920 is about 14088.6450732496. The cubic root of 198489920 is about 583.3279941461.

The spelling of 198489920 in words is "one hundred ninety-eight million, four hundred eighty-nine thousand, nine hundred twenty".