198580 has 12 divisors (see below), whose sum is σ = 417060. Its totient is φ = 79424.

The previous prime is 198571. The next prime is 198589. The reversal of 198580 is 85891.

198580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (198571) and next prime (198589).

It can be written as a sum of positive squares in 2 ways, for example, as 55696 + 142884 = 236^2 + 378^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198589) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4945 + ... + 4984.

It is an arithmetic number, because the mean of its divisors is an integer number (34755).

2¹⁹⁸⁵⁸⁰ is an apocalyptic number.

198580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198580 is an abundant number, since it is smaller than the sum of its proper divisors (218480).

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

198580 is a wasteful number, since it uses less digits than its factorization.

198580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9938 (or 9936 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The square root of 198580 is about 445.6231591827. The cubic root of 198580 is about 58.3416224048.

The spelling of 198580 in words is "one hundred ninety-eight thousand, five hundred eighty".