198328680 has 288 divisors, whose sum is σ = 737591400. Its totient is φ = 46126080.

The previous prime is 198328667. The next prime is 198328717. The reversal of 198328680 is 86823891.

It can be written as a sum of positive squares in 4 ways, for example, as 142706916 + 55621764 = 11946^2 + 7458^2 .

It is a super-3 number, since 3×198328680³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263162 + ... + 1263318.

Almost surely, 2^198328680 is an apocalyptic number.

198328680 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 198328680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368795700).

198328680 is an abundant number, since it is smaller than the sum of its proper divisors (539262720).

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

198328680 is a wasteful number, since it uses less digits than its factorization.

198328680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 198328680 is about 14082.9215718898. The cubic root of 198328680 is about 583.1699990777.

The spelling of 198328680 in words is "one hundred ninety-eight million, three hundred twenty-eight thousand, six hundred eighty".