199868760 has 192 divisors, whose sum is σ = 799606080. Its totient is φ = 42163200.

The previous prime is 199868743. The next prime is 199868789. The reversal of 199868760 is 67868991.

199868760 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 = 199868697 and 199868706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29710 + ... + 35810.

It is an arithmetic number, because the mean of its divisors is an integer number (4164615).

Almost surely, 2^199868760 is an apocalyptic number.

199868760 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 199868760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399803040).

199868760 is an abundant number, since it is smaller than the sum of its proper divisors (599737320).

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

199868760 is a wasteful number, since it uses less digits than its factorization.

199868760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6131 counting only the distinct ones).

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

The square root of 199868760 is about 14137.4948275853. The cubic root of 199868760 is about 584.6756036235.

The spelling of 199868760 in words is "one hundred ninety-nine million, eight hundred sixty-eight thousand, seven hundred sixty".