198904160 has 192 divisors, whose sum is σ = 609638400. Its totient is φ = 59553792.

The previous prime is 198904159. The next prime is 198904169. The reversal of 198904160 is 61409891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198904169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276281 + ... + 276999.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2^198904160 is an apocalyptic number.

198904160 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 198904160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304819200).

198904160 is an abundant number, since it is smaller than the sum of its proper divisors (410734240).

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

198904160 is a wasteful number, since it uses less digits than its factorization.

198904160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 38.

The square root of 198904160 is about 14103.3386118323. The cubic root of 198904160 is about 583.7335057325.

The spelling of 198904160 in words is "one hundred ninety-eight million, nine hundred four thousand, one hundred sixty".