198980600 has 216 divisors, whose sum is σ = 592941960. Its totient is φ = 60802560.

The previous prime is 198980591. The next prime is 198980609. The reversal of 198980600 is 6089891.

It is an interprime number because it is at equal distance from previous prime (198980591) and next prime (198980609).

It is a super-3 number, since 3×198980600³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198980609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6861386 + ... + 6861414.

Almost surely, 2^198980600 is an apocalyptic number.

198980600 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 198980600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296470980).

198980600 is an abundant number, since it is smaller than the sum of its proper divisors (393961360).

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

198980600 is a wasteful number, since it uses less digits than its factorization.

198980600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 41.

The square root of 198980600 is about 14106.0483481378. The cubic root of 198980600 is about 583.8082735242.

The spelling of 198980600 in words is "one hundred ninety-eight million, nine hundred eighty thousand, six hundred".