198125568 has 96 divisors (see below), whose sum is σ = 587059200. Its totient is φ = 66023424.

The previous prime is 198125567. The next prime is 198125573. The reversal of 198125568 is 865521891.

It is a happy number.

198125568 is a `hidden beast` number, since 1 + 9 + 81 + 2 + 5 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×198125568³ (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (198125563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53505 + ... + 57087.

It is an arithmetic number, because the mean of its divisors is an integer number (6115200).

Almost surely, 2^198125568 is an apocalyptic number.

198125568 is a gapful number since it is divisible by the number (18) 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 198125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293529600).

198125568 is an abundant number, since it is smaller than the sum of its proper divisors (388933632).

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

198125568 is an equidigital number, since it uses as much as digits as its factorization.

198125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3614 (or 3588 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The square root of 198125568 is about 14075.7084368781. The cubic root of 198125568 is about 582.9708527530.

The spelling of 198125568 in words is "one hundred ninety-eight million, one hundred twenty-five thousand, five hundred sixty-eight".