198810 has 36 divisors (see below), whose sum is σ = 528138. Its totient is φ = 51888.

The previous prime is 198769. The next prime is 198811. The reversal of 198810 is 18891.

It can be written as a sum of positive squares in only one way, i.e., 178929 + 19881 = 423^2 + 141^2 .

It is a super-2 number, since 2×198810² = 79050832200, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198810.

It is not an unprimeable number, because it can be changed into a prime (198811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4207 + ... + 4253.

2¹⁹⁸⁸¹⁰ is an apocalyptic number.

198810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 198810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264069).

198810 is an abundant number, since it is smaller than the sum of its proper divisors (329328).

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

198810 is a wasteful number, since it uses less digits than its factorization.

198810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The square root of 198810 is about 445.8811500837. The cubic root of 198810 is about 58.3641379249.

The spelling of 198810 in words is "one hundred ninety-eight thousand, eight hundred ten".