198434960 has 40 divisors (see below), whose sum is σ = 465017856. Its totient is φ = 78744960.

The previous prime is 198434927. The next prime is 198434963. The reversal of 198434960 is 69434891.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (198434963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 395 + ... + 19925.

Almost surely, 2^198434960 is an apocalyptic number.

198434960 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 198434960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232508928).

198434960 is an abundant number, since it is smaller than the sum of its proper divisors (266582896).

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

198434960 is a wasteful number, since it uses less digits than its factorization.

198434960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19671 (or 19665 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 44.

The square root of 198434960 is about 14086.6944312710. The cubic root of 198434960 is about 583.2741498233.

The spelling of 198434960 in words is "one hundred ninety-eight million, four hundred thirty-four thousand, nine hundred sixty".