198508320 has 360 divisors, whose sum is σ = 758244564. Its totient is φ = 48881664.

The previous prime is 198508309. The next prime is 198508351. The reversal of 198508320 is 23805891.

It can be written as a sum of positive squares in 6 ways, for example, as 161493264 + 37015056 = 12708^2 + 6084^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 59 ways as a sum of consecutive naturals, for example, 3745414 + ... + 3745466.

Almost surely, 2^198508320 is an apocalyptic number.

198508320 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 198508320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379122282).

198508320 is an abundant number, since it is smaller than the sum of its proper divisors (559736244).

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

198508320 is a wasteful number, since it uses less digits than its factorization.

198508320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 198508320 is about 14089.2980662629. The cubic root of 198508320 is about 583.3460184090.

The spelling of 198508320 in words is "one hundred ninety-eight million, five hundred eight thousand, three hundred twenty".