198825120 has 432 divisors, whose sum is σ = 791350560. Its totient is φ = 45287424.

The previous prime is 198825097. The next prime is 198825127. The reversal of 198825120 is 21528891.

198825120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198825127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4623819 + ... + 4623861.

It is an arithmetic number, because the mean of its divisors is an integer number (1831830).

Almost surely, 2^198825120 is an apocalyptic number.

198825120 is a gapful number since it is divisible by the number (10) 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 198825120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395675280).

198825120 is an abundant number, since it is smaller than the sum of its proper divisors (592525440).

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

198825120 is a wasteful number, since it uses less digits than its factorization.

198825120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 198825120 is about 14100.5361600189. The cubic root of 198825120 is about 583.6561746717.

The spelling of 198825120 in words is "one hundred ninety-eight million, eight hundred twenty-five thousand, one hundred twenty".