198869760 has 216 divisors, whose sum is σ = 701819664. Its totient is φ = 51978240.

The previous prime is 198869719. The next prime is 198869767. The reversal of 198869760 is 67968891.

198869760 is digitally balanced in base 3, 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 = 198869697 and 198869706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198869767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702579 + ... + 702861.

Almost surely, 2^198869760 is an apocalyptic number.

198869760 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 198869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350909832).

198869760 is an abundant number, since it is smaller than the sum of its proper divisors (502949904).

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

198869760 is a wasteful number, since it uses less digits than its factorization.

198869760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 198869760 is about 14102.1189897121. The cubic root of 198869760 is about 583.6998520198.

It can be divided in two parts, 19886 and 9760, that added together give a triangular number (29646 = T₂₄₃).

The spelling of 198869760 in words is "one hundred ninety-eight million, eight hundred sixty-nine thousand, seven hundred sixty".