198000180 has 192 divisors, whose sum is σ = 719040000. Its totient is φ = 45214848.

The previous prime is 198000161. The next prime is 198000181. The reversal of 198000180 is 81000891.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198000181) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184686 + ... + 185754.

It is an arithmetic number, because the mean of its divisors is an integer number (3745000).

Almost surely, 2^198000180 is an apocalyptic number.

198000180 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 198000180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359520000).

198000180 is an abundant number, since it is smaller than the sum of its proper divisors (521039820).

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

198000180 is a wasteful number, since it uses less digits than its factorization.

198000180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1086 counting only the distinct ones).

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

The square root of 198000180 is about 14071.2536754903. The cubic root of 198000180 is about 582.8478449456.

The spelling of 198000180 in words is "one hundred ninety-eight million, one hundred eighty", and thus it is an aban number.