198112320 has 336 divisors, whose sum is σ = 806427648. Its totient is φ = 43683840.

The previous prime is 198112303. The next prime is 198112333. The reversal of 198112320 is 23211891.

198112320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 624802 + ... + 625118.

Almost surely, 2^198112320 is an apocalyptic number.

198112320 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 198112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403213824).

198112320 is an abundant number, since it is smaller than the sum of its proper divisors (608315328).

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

198112320 is a wasteful number, since it uses less digits than its factorization.

198112320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 198112320 is about 14075.2378310279. The cubic root of 198112320 is about 582.9578586872.

The spelling of 198112320 in words is "one hundred ninety-eight million, one hundred twelve thousand, three hundred twenty".