198852192 has 384 divisors, whose sum is σ = 749952000. Its totient is φ = 50803200.

The previous prime is 198852191. The next prime is 198852209. The reversal of 198852192 is 291258891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198852191) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3259842 + ... + 3259902.

It is an arithmetic number, because the mean of its divisors is an integer number (1953000).

Almost surely, 2^198852192 is an apocalyptic number.

198852192 is a gapful number since it is divisible by the number (12) 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 198852192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374976000).

198852192 is an abundant number, since it is smaller than the sum of its proper divisors (551099808).

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

198852192 is a wasteful number, since it uses less digits than its factorization.

198852192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its digits is 103680, while the sum is 45.

The square root of 198852192 is about 14101.4960908409. The cubic root of 198852192 is about 583.6826636500.

The spelling of 198852192 in words is "one hundred ninety-eight million, eight hundred fifty-two thousand, one hundred ninety-two".