198107892 has 72 divisors (see below), whose sum is σ = 511842240. Its totient is φ = 64592640.

The previous prime is 198107873. The next prime is 198107909. The reversal of 198107892 is 298701891.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 457308 + ... + 457740.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^198107892 is an apocalyptic number.

198107892 is a gapful number since it is divisible by the number (12) 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 198107892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255921120).

198107892 is an abundant number, since it is smaller than the sum of its proper divisors (313734348).

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

198107892 is a wasteful number, since it uses less digits than its factorization.

198107892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 198107892 is about 14075.0805326293. The cubic root of 198107892 is about 582.9535154328.

The spelling of 198107892 in words is "one hundred ninety-eight million, one hundred seven thousand, eight hundred ninety-two".