180198000 has 320 divisors, whose sum is σ = 668528640. Its totient is φ = 46368000.

The previous prime is 180197999. The next prime is 180198017. The reversal of 180198000 is 891081.

It is a super-3 number, since 3×180198000³ (a number of 26 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2537965 + ... + 2538035.

It is an arithmetic number, because the mean of its divisors is an integer number (2089152).

Almost surely, 2^180198000 is an apocalyptic number.

180198000 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 180198000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334264320).

180198000 is an abundant number, since it is smaller than the sum of its proper divisors (488330640).

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

180198000 is a wasteful number, since it uses less digits than its factorization.

180198000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 128 counting only the distinct ones).

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

The square root of 180198000 is about 13423.7848612081. The cubic root of 180198000 is about 564.8285693911.

The spelling of 180198000 in words is "one hundred eighty million, one hundred ninety-eight thousand".