198619920 has 120 divisors (see below), whose sum is σ = 702187200. Its totient is φ = 50174208.

The previous prime is 198619903. The next prime is 198619921. The reversal of 198619920 is 29916891.

198619920 is a `hidden beast` number, since 1 + 9 + 8 + 619 + 9 + 20 = 666.

198619920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 (198619921) 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, 6421 + ... + 20939.

It is an arithmetic number, because the mean of its divisors is an integer number (5851560).

Almost surely, 2^198619920 is an apocalyptic number.

198619920 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 198619920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351093600).

198619920 is an abundant number, since it is smaller than the sum of its proper divisors (503567280).

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

198619920 is a wasteful number, since it uses less digits than its factorization.

198619920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14557 (or 14548 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 198619920 is about 14093.2579625862. The cubic root of 198619920 is about 583.4553156240.

The spelling of 198619920 in words is "one hundred ninety-eight million, six hundred nineteen thousand, nine hundred twenty".