198096912 has 240 divisors, whose sum is σ = 639802800. Its totient is φ = 56770560.

The previous prime is 198096901. The next prime is 198096917. The reversal of 198096912 is 219690891.

198096912 is digitally balanced in base 3, 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 68956416 + 129140496 = 8304^2 + 11364^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198096917) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2225764 + ... + 2225852.

It is an arithmetic number, because the mean of its divisors is an integer number (2665845).

Almost surely, 2^198096912 is an apocalyptic number.

198096912 is a gapful number since it is divisible by the number (12) 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 198096912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319901400).

198096912 is an abundant number, since it is smaller than the sum of its proper divisors (441705888).

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

198096912 is a wasteful number, since it uses less digits than its factorization.

198096912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 198096912 is about 14074.6904761703. The cubic root of 198096912 is about 582.9427452951.

The spelling of 198096912 in words is "one hundred ninety-eight million, ninety-six thousand, nine hundred twelve".