198910080 has 192 divisors, whose sum is σ = 712857600. Its totient is φ = 53001216.

The previous prime is 198910057. The next prime is 198910097. The reversal of 198910080 is 80019891.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154881 + ... + 156159.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2^198910080 is an apocalyptic number.

198910080 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 198910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356428800).

198910080 is an abundant number, since it is smaller than the sum of its proper divisors (513947520).

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

198910080 is an equidigital number, since it uses as much as digits as its factorization.

198910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 198910080 is about 14103.5484896532. The cubic root of 198910080 is about 583.7392969103.

The spelling of 198910080 in words is "one hundred ninety-eight million, nine hundred ten thousand, eighty".