198413160 has 128 divisors (see below), whose sum is σ = 657538560. Its totient is φ = 47494400.

The previous prime is 198413141. The next prime is 198413167. The reversal of 198413160 is 61314891.

198413160 is a nontrivial binomial coefficient, being equal to C(19921, 2).

It is a super-2 number, since 2×198413160² = 78735564122371200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (198413167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108655 + ... + 110465.

It is an arithmetic number, because the mean of its divisors is an integer number (5137020).

Almost surely, 2^198413160 is an apocalyptic number.

198413160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198413160 is the 19920-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198413160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328769280).

198413160 is an abundant number, since it is smaller than the sum of its proper divisors (459125400).

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

198413160 is a wasteful number, since it uses less digits than its factorization.

198413160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 198413160 is about 14085.9206301896. The cubic root of 198413160 is about 583.2527896051.

The spelling of 198413160 in words is "one hundred ninety-eight million, four hundred thirteen thousand, one hundred sixty".