198393240 has 64 divisors (see below), whose sum is σ = 602380800. Its totient is φ = 52264832.

The previous prime is 198393199. The next prime is 198393259. The reversal of 198393240 is 42393891.

198393240 is a nontrivial binomial coefficient, being equal to C(19920, 2).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 19919.

It is an arithmetic number, because the mean of its divisors is an integer number (9412200).

Almost surely, 2^198393240 is an apocalyptic number.

198393240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

198393240 is the 19919-th triangular number and also the 9960-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198393240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301190400).

198393240 is an abundant number, since it is smaller than the sum of its proper divisors (403987560).

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

198393240 is a wasteful number, since it uses less digits than its factorization.

198393240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20016 (or 20012 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 198393240 is about 14085.2135234082. The cubic root of 198393240 is about 583.2332700927.

The spelling of 198393240 in words is "one hundred ninety-eight million, three hundred ninety-three thousand, two hundred forty".