198880000 has 180 divisors, whose sum is σ = 545956488. Its totient is φ = 71680000.

The previous prime is 198879953. The next prime is 198880013. The reversal of 198880000 is 88891.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1759944 + ... + 1760056.

Almost surely, 2^198880000 is an apocalyptic number.

198880000 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 198880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272978244).

198880000 is an abundant number, since it is smaller than the sum of its proper divisors (347076488).

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

198880000 is an equidigital number, since it uses as much as digits as its factorization.

198880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 198880000 is about 14102.4820510434. The cubic root of 198880000 is about 583.7098702748.

It can be divided in two parts, 198 and 880000, that multiplied together give a square (174240000 = 13200²).

The spelling of 198880000 in words is "one hundred ninety-eight million, eight hundred eighty thousand".