198840240 has 240 divisors, whose sum is σ = 705088800. Its totient is φ = 50147328.

The previous prime is 198840223. The next prime is 198840241. The reversal of 198840240 is 42048891.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 198840195 and 198840204.

It is not an unprimeable number, because it can be changed into a prime (198840241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1858267 + ... + 1858373.

It is an arithmetic number, because the mean of its divisors is an integer number (2937870).

Almost surely, 2^198840240 is an apocalyptic number.

198840240 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 198840240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352544400).

198840240 is an abundant number, since it is smaller than the sum of its proper divisors (506248560).

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

198840240 is a wasteful number, since it uses less digits than its factorization.

198840240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 198840240 is about 14101.0722996515. The cubic root of 198840240 is about 583.6709693443.

The spelling of 198840240 in words is "one hundred ninety-eight million, eight hundred forty thousand, two hundred forty".