198986112 has 256 divisors, whose sum is σ = 653452800. Its totient is φ = 59222016.

The previous prime is 198986057. The next prime is 198986113. The reversal of 198986112 is 211689891.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198986113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1931853 + ... + 1931955.

It is an arithmetic number, because the mean of its divisors is an integer number (2552550).

Almost surely, 2^198986112 is an apocalyptic number.

198986112 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 198986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326726400).

198986112 is an abundant number, since it is smaller than the sum of its proper divisors (454466688).

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

198986112 is a wasteful number, since it uses less digits than its factorization.

198986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 164 counting only the distinct ones).

The product of its digits is 62208, while the sum is 45.

The square root of 198986112 is about 14106.2437239685. The cubic root of 198986112 is about 583.8136642030.

It can be divided in two parts, 198 and 986112, that added together give a triangular number (986310 = T₁₄₀₄).

The spelling of 198986112 in words is "one hundred ninety-eight million, nine hundred eighty-six thousand, one hundred twelve".