198385920 has 216 divisors, whose sum is σ = 727488216. Its totient is φ = 49741824.

The previous prime is 198385883. The next prime is 198385927. The reversal of 198385920 is 29583891.

It is a happy number.

198385920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1937664 + 196448256 = 1392^2 + 14016^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (198385927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195334 + ... + 196346.

It is an arithmetic number, because the mean of its divisors is an integer number (3368001).

Almost surely, 2^198385920 is an apocalyptic number.

198385920 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 198385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363744108).

198385920 is an abundant number, since it is smaller than the sum of its proper divisors (529102296).

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

198385920 is a wasteful number, since it uses less digits than its factorization.

198385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 198385920 is about 14084.9536740452. The cubic root of 198385920 is about 583.2260969315.

The spelling of 198385920 in words is "one hundred ninety-eight million, three hundred eighty-five thousand, nine hundred twenty".