198085680 has 120 divisors (see below), whose sum is σ = 716443728. Its totient is φ = 48757248.

The previous prime is 198085673. The next prime is 198085721. The reversal of 198085680 is 86580891.

198085680 is a `hidden beast` number, since 1 + 9 + 80 + 8 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1222 + ... + 19941.

Almost surely, 2^198085680 is an apocalyptic number.

198085680 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 198085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358221864).

198085680 is an abundant number, since it is smaller than the sum of its proper divisors (518358048).

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

198085680 is a wasteful number, since it uses less digits than its factorization.

198085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21195 (or 21186 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 198085680 is about 14074.2914564109. The cubic root of 198085680 is about 582.9317275620.

It can be divided in two parts, 198085 and 680, that added together give a triangular number (198765 = T₆₃₀).

The spelling of 198085680 in words is "one hundred ninety-eight million, eighty-five thousand, six hundred eighty".