198672210 has 128 divisors (see below), whose sum is σ = 583096320. Its totient is φ = 47736000.

The previous prime is 198672209. The next prime is 198672223. The reversal of 198672210 is 12276891.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448249 + ... + 448691.

It is an arithmetic number, because the mean of its divisors is an integer number (4555440).

Almost surely, 2^198672210 is an apocalyptic number.

198672210 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 198672210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291548160).

198672210 is an abundant number, since it is smaller than the sum of its proper divisors (384424110).

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

198672210 is a wasteful number, since it uses less digits than its factorization.

198672210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 198672210 is about 14095.1129828746. The cubic root of 198672210 is about 583.5065125726.

The spelling of 198672210 in words is "one hundred ninety-eight million, six hundred seventy-two thousand, two hundred ten".