198563920 has 20 divisors (see below), whose sum is σ = 461661300. Its totient is φ = 79425536.

The previous prime is 198563909. The next prime is 198563923. The reversal of 198563920 is 29365891.

It is a happy number.

198563920 is digitally balanced in base 2, 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 2 ways, for example, as 41011216 + 157552704 = 6404^2 + 12552^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198563923) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1240945 + ... + 1241104.

It is an arithmetic number, because the mean of its divisors is an integer number (23083065).

Almost surely, 2^198563920 is an apocalyptic number.

198563920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198563920 is an abundant number, since it is smaller than the sum of its proper divisors (263097380).

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

198563920 is a wasteful number, since it uses less digits than its factorization.

198563920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2482062 (or 2482056 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 43.

The square root of 198563920 is about 14091.2710569345. The cubic root of 198563920 is about 583.4004762623.

The spelling of 198563920 in words is "one hundred ninety-eight million, five hundred sixty-three thousand, nine hundred twenty".