198003960 has 256 divisors, whose sum is σ = 823219200. Its totient is φ = 41126400.

The previous prime is 198003931. The next prime is 198003979. The reversal of 198003960 is 69300891.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81970 + ... + 84350.

It is an arithmetic number, because the mean of its divisors is an integer number (3215700).

Almost surely, 2^198003960 is an apocalyptic number.

198003960 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 198003960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411609600).

198003960 is an abundant number, since it is smaller than the sum of its proper divisors (625215240).

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

198003960 is a wasteful number, since it uses less digits than its factorization.

198003960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 198003960 is about 14071.3879912395. The cubic root of 198003960 is about 582.8515539504.

The spelling of 198003960 in words is "one hundred ninety-eight million, three thousand, nine hundred sixty".