198789856 has 96 divisors (see below), whose sum is σ = 435456000. Its totient is φ = 88957440.

The previous prime is 198789841. The next prime is 198789859. The reversal of 198789856 is 658987891.

198789856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 198789794 and 198789803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198789859) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998845 + ... + 999043.

It is an arithmetic number, because the mean of its divisors is an integer number (4536000).

Almost surely, 2^198789856 is an apocalyptic number.

198789856 is a gapful number since it is divisible by the number (16) 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 198789856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

198789856 is an abundant number, since it is smaller than the sum of its proper divisors (236666144).

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

198789856 is a wasteful number, since it uses less digits than its factorization.

198789856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 304 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 61.

The square root of 198789856 is about 14099.2856556636. The cubic root of 198789856 is about 583.6216665098.

The spelling of 198789856 in words is "one hundred ninety-eight million, seven hundred eighty-nine thousand, eight hundred fifty-six".