198598080 has 224 divisors, whose sum is σ = 685580544. Its totient is φ = 48513024.

The previous prime is 198598079. The next prime is 198598093. The reversal of 198598080 is 80895891.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701619 + ... + 701901.

Almost surely, 2^198598080 is an apocalyptic number.

198598080 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 198598080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342790272).

198598080 is an abundant number, since it is smaller than the sum of its proper divisors (486982464).

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

198598080 is a wasteful number, since it uses less digits than its factorization.

198598080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 48.

The square root of 198598080 is about 14092.4831027041. The cubic root of 198598080 is about 583.4339294992.

The spelling of 198598080 in words is "one hundred ninety-eight million, five hundred ninety-eight thousand, eighty".