198789840 has 240 divisors, whose sum is σ = 718146000. Its totient is φ = 49102848.

The previous prime is 198789827. The next prime is 198789841. The reversal of 198789840 is 48987891.

198789840 is digitally balanced in base 2, 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 8 ways, for example, as 318096 + 198471744 = 564^2 + 14088^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198789841) 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, 1334086 + ... + 1334234.

It is an arithmetic number, because the mean of its divisors is an integer number (2992275).

Almost surely, 2^198789840 is an apocalyptic number.

198789840 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 198789840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359073000).

198789840 is an abundant number, since it is smaller than the sum of its proper divisors (519356160).

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

198789840 is a wasteful number, since it uses less digits than its factorization.

198789840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 198789840 is about 14099.2850882589. The cubic root of 198789840 is about 583.6216508518.

The spelling of 198789840 in words is "one hundred ninety-eight million, seven hundred eighty-nine thousand, eight hundred forty".