198873312 has 96 divisors (see below), whose sum is σ = 576616320. Its totient is φ = 59512320.

The previous prime is 198873307. The next prime is 198873319. The reversal of 198873312 is 213378891.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198873319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86514 + ... + 88782.

It is an arithmetic number, because the mean of its divisors is an integer number (6006420).

Almost surely, 2^198873312 is an apocalyptic number.

198873312 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 198873312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288308160).

198873312 is an abundant number, since it is smaller than the sum of its proper divisors (377743008).

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

198873312 is a wasteful number, since it uses less digits than its factorization.

198873312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2368 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 198873312 is about 14102.2449276702. The cubic root of 198873312 is about 583.7033271410.

The spelling of 198873312 in words is "one hundred ninety-eight million, eight hundred seventy-three thousand, three hundred twelve".