198960300 has 540 divisors, whose sum is σ = 838123440. Its totient is φ = 39916800.

The previous prime is 198960287. The next prime is 198960361. The reversal of 198960300 is 3069891.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

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 179 ways as a sum of consecutive naturals, for example, 6860686 + ... + 6860714.

Almost surely, 2^198960300 is an apocalyptic number.

198960300 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 198960300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419061720).

198960300 is an abundant number, since it is smaller than the sum of its proper divisors (639163140).

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

198960300 is a wasteful number, since it uses less digits than its factorization.

198960300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 198960300 is about 14105.3287802873. The cubic root of 198960300 is about 583.7884194765.

The spelling of 198960300 in words is "one hundred ninety-eight million, nine hundred sixty thousand, three hundred".