198072180 has 54 divisors (see below), whose sum is σ = 601392246. Its totient is φ = 52768896.

The previous prime is 198072109. The next prime is 198072181. The reversal of 198072180 is 81270891.

198072180 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 101364624 + 96707556 = 10068^2 + 9834^2 .

It is a super-3 number, since 3×198072180³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198072181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 188296 + ... + 189344.

Almost surely, 2^198072180 is an apocalyptic number.

198072180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198072180 is an abundant number, since it is smaller than the sum of its proper divisors (403320066).

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

198072180 is a wasteful number, since it uses less digits than its factorization.

198072180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 198072180 is about 14073.8118503837. The cubic root of 198072180 is about 582.9184845433.

The spelling of 198072180 in words is "one hundred ninety-eight million, seventy-two thousand, one hundred eighty".