198309888 has 288 divisors, whose sum is σ = 689925600. Its totient is φ = 53673984.

The previous prime is 198309877. The next prime is 198309893. The reversal of 198309888 is 888903891.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3741670 + ... + 3741722.

It is an arithmetic number, because the mean of its divisors is an integer number (2395575).

Almost surely, 2^198309888 is an apocalyptic number.

198309888 is a gapful number since it is divisible by the number (18) 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 198309888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344962800).

198309888 is an abundant number, since it is smaller than the sum of its proper divisors (491615712).

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

198309888 is a wasteful number, since it uses less digits than its factorization.

198309888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 198309888 is about 14082.2543649801. The cubic root of 198309888 is about 583.1515796930.

The spelling of 198309888 in words is "one hundred ninety-eight million, three hundred nine thousand, eight hundred eighty-eight".