198086900 has 144 divisors (see below), whose sum is σ = 500301312. Its totient is φ = 67392000.

The previous prime is 198086893. The next prime is 198086953. The reversal of 198086900 is 9680891.

It is a super-2 number, since 2×198086900² = 78476839903220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1261622 + ... + 1261778.

Almost surely, 2^198086900 is an apocalyptic number.

198086900 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 198086900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250150656).

198086900 is an abundant number, since it is smaller than the sum of its proper divisors (302214412).

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

198086900 is a wasteful number, since it uses less digits than its factorization.

198086900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

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

The square root of 198086900 is about 14074.3347977800. The cubic root of 198086900 is about 582.9329243089.

The spelling of 198086900 in words is "one hundred ninety-eight million, eighty-six thousand, nine hundred".