198732016 has 40 divisors (see below), whose sum is σ = 445016160. Its totient is φ = 84209664.

The previous prime is 198731999. The next prime is 198732031. The reversal of 198732016 is 610237891.

198732016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

198732016 is a nontrivial binomial coefficient, being equal to C(19937, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 19936.

It is an arithmetic number, because the mean of its divisors is an integer number (11125404).

Almost surely, 2^198732016 is an apocalyptic number.

198732016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

198732016 is the 19936-th triangular number.

198732016 is the 6646-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198732016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222508080).

198732016 is an abundant number, since it is smaller than the sum of its proper divisors (246284144).

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

198732016 is a wasteful number, since it uses less digits than its factorization.

198732016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20041 (or 20035 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 198732016 is about 14097.2343386921. The cubic root of 198732016 is about 583.5650573978.

The spelling of 198732016 in words is "one hundred ninety-eight million, seven hundred thirty-two thousand, sixteen".