198832320 has 168 divisors, whose sum is σ = 709507344. Its totient is φ = 53001216.

The previous prime is 198832303. The next prime is 198832331. The reversal of 198832320 is 23238891.

It is a happy number.

198832320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76482 + ... + 79038.

It is an arithmetic number, because the mean of its divisors is an integer number (4223258).

Almost surely, 2^198832320 is an apocalyptic number.

198832320 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 198832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354753672).

198832320 is an abundant number, since it is smaller than the sum of its proper divisors (510675024).

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

198832320 is an equidigital number, since it uses as much as digits as its factorization.

198832320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2589 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 198832320 is about 14100.7914671482. The cubic root of 198832320 is about 583.6632198474.

The spelling of 198832320 in words is "one hundred ninety-eight million, eight hundred thirty-two thousand, three hundred twenty".