198082560 has 256 divisors, whose sum is σ = 704632320. Its totient is φ = 47185920.

The previous prime is 198082523. The next prime is 198082561. The reversal of 198082560 is 65280891.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (198082561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6389745 + ... + 6389775.

It is an arithmetic number, because the mean of its divisors is an integer number (2752470).

Almost surely, 2^198082560 is an apocalyptic number.

198082560 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 198082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352316160).

198082560 is an abundant number, since it is smaller than the sum of its proper divisors (506549760).

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

198082560 is an equidigital number, since it uses as much as digits as its factorization.

198082560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 198082560 is about 14074.1806155811. The cubic root of 198082560 is about 582.9286670067.

The spelling of 198082560 in words is "one hundred ninety-eight million, eighty-two thousand, five hundred sixty".