198328320 has 180 divisors, whose sum is σ = 690073020. Its totient is φ = 52690944.

The previous prime is 198328309. The next prime is 198328321. The reversal of 198328320 is 23823891.

It is a happy number.

198328320 is a `hidden beast` number, since 1 + 9 + 8 + 328 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 160579584 = 6144^2 + 12672^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (198328321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 737146 + ... + 737414.

It is an arithmetic number, because the mean of its divisors is an integer number (3833739).

Almost surely, 2^198328320 is an apocalyptic number.

198328320 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 198328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345036510).

198328320 is an abundant number, since it is smaller than the sum of its proper divisors (491744700).

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

198328320 is an equidigital number, since it uses as much as digits as its factorization.

198328320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 279 counting only the distinct ones).

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

The square root of 198328320 is about 14082.9087904452. The cubic root of 198328320 is about 583.1696462268.

It can be divided in two parts, 1983 and 28320, that added together give a palindrome (30303).

The spelling of 198328320 in words is "one hundred ninety-eight million, three hundred twenty-eight thousand, three hundred twenty".