180198 has 32 divisors (see below), whose sum is σ = 414720. Its totient is φ = 57960.

The previous prime is 180181. The next prime is 180211. The reversal of 180198 is 891081.

It is a super-3 number, since 3×180198³ = 17553800333767176, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

180198 is a modest number, since divided by 198 gives 18 as remainder.

It is a congruent number.

It is an unprimeable number.

180198 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 2503 + ... + 2573.

It is an arithmetic number, because the mean of its divisors is an integer number (12960).

2¹⁸⁰¹⁹⁸ is an apocalyptic number.

180198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 180198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207360).

180198 is an abundant number, since it is smaller than the sum of its proper divisors (234522).

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

180198 is a wasteful number, since it uses less digits than its factorization.

180198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 123 counting only the distinct ones).

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

The square root of 180198 is about 424.4973498150. The cubic root of 180198 is about 56.4828569391.

It can be divided in two parts, 180 and 198, that added together give a triangular number (378 = T₂₇).

The spelling of 180198 in words is "one hundred eighty thousand, one hundred ninety-eight".