198491920 has 80 divisors (see below), whose sum is σ = 506306880. Its totient is φ = 71769600.

The previous prime is 198491903. The next prime is 198491941. The reversal of 198491920 is 29194891.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185146 + ... + 186214.

It is an arithmetic number, because the mean of its divisors is an integer number (6328836).

Almost surely, 2^198491920 is an apocalyptic number.

198491920 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 198491920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253153440).

198491920 is an abundant number, since it is smaller than the sum of its proper divisors (307814960).

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

198491920 is a wasteful number, since it uses less digits than its factorization.

198491920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 43.

The square root of 198491920 is about 14088.7160522171. The cubic root of 198491920 is about 583.3299533591.

The spelling of 198491920 in words is "one hundred ninety-eight million, four hundred ninety-one thousand, nine hundred twenty".