198968960 has 32 divisors (see below), whose sum is σ = 475661700. Its totient is φ = 79587328.

The previous prime is 198968951. The next prime is 198968963. The reversal of 198968960 is 69869891.

198968960 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 2 ways, for example, as 188677696 + 10291264 = 13736^2 + 3208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 198968896 and 198968905.

It is not an unprimeable number, because it can be changed into a prime (198968963) 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 3 ways as a sum of consecutive naturals, for example, 154805 + ... + 156084.

Almost surely, 2^198968960 is an apocalyptic number.

198968960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198968960 is an abundant number, since it is smaller than the sum of its proper divisors (276692740).

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

198968960 is an equidigital number, since it uses as much as digits as its factorization.

198968960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310908 (or 310896 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 56.

The square root of 198968960 is about 14105.6357531307. The cubic root of 198968960 is about 583.7968893979.

The spelling of 198968960 in words is "one hundred ninety-eight million, nine hundred sixty-eight thousand, nine hundred sixty".