198984960 has 216 divisors, whose sum is σ = 719357184. Its totient is φ = 50688000.

The previous prime is 198984959. The next prime is 198984991. The reversal of 198984960 is 69489891.

It is a junction number, because it is equal to n+sod(n) for n = 198984897 and 198984906.

It is a congruent number.

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, 264585 + ... + 265335.

Almost surely, 2^198984960 is an apocalyptic number.

198984960 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 198984960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359678592).

198984960 is an abundant number, since it is smaller than the sum of its proper divisors (520372224).

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

198984960 is a wasteful number, since it uses less digits than its factorization.

198984960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 198984960 is about 14106.2028909271. The cubic root of 198984960 is about 583.8125375672.

The spelling of 198984960 in words is "one hundred ninety-eight million, nine hundred eighty-four thousand, nine hundred sixty".