198825984 has 288 divisors, whose sum is σ = 695036160. Its totient is φ = 53526528.

The previous prime is 198825983. The next prime is 198825989. The reversal of 198825984 is 489528891.

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

It is a self number, because there is not a number n which added to its sum of digits gives 198825984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198825983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2967519 + ... + 2967585.

It is an arithmetic number, because the mean of its divisors is an integer number (2413320).

Almost surely, 2^198825984 is an apocalyptic number.

198825984 is a gapful number since it is divisible by the number (14) 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 198825984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347518080).

198825984 is an abundant number, since it is smaller than the sum of its proper divisors (496210176).

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

198825984 is a wasteful number, since it uses less digits than its factorization.

198825984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 102 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 198825984 is about 14100.5667971185. The cubic root of 198825984 is about 583.6570201017.

It can be divided in two parts, 198825 and 984, that added together give a square (199809 = 447²).

The spelling of 198825984 in words is "one hundred ninety-eight million, eight hundred twenty-five thousand, nine hundred eighty-four".