198588768 has 192 divisors, whose sum is σ = 628185600. Its totient is φ = 54867456.

The previous prime is 198588763. The next prime is 198588787. The reversal of 198588768 is 867885891.

198588768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198588763) 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, 1218255 + ... + 1218417.

It is an arithmetic number, because the mean of its divisors is an integer number (3271800).

Almost surely, 2^198588768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198588768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314092800).

198588768 is an abundant number, since it is smaller than the sum of its proper divisors (429596832).

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

198588768 is a wasteful number, since it uses less digits than its factorization.

198588768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 212 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 60.

The square root of 198588768 is about 14092.1527099304. The cubic root of 198588768 is about 583.4248105429.

The spelling of 198588768 in words is "one hundred ninety-eight million, five hundred eighty-eight thousand, seven hundred sixty-eight".