199985688 has 144 divisors (see below), whose sum is σ = 658036080. Its totient is φ = 53738496.

The previous prime is 199985683. The next prime is 199985689. The reversal of 199985688 is 886589991.

199985688 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199985683) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 144970 + ... + 146342.

It is an arithmetic number, because the mean of its divisors is an integer number (4569695).

Almost surely, 2^199985688 is an apocalyptic number.

199985688 is a gapful number since it is divisible by the number (18) 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 199985688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329018040).

199985688 is an abundant number, since it is smaller than the sum of its proper divisors (458050392).

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

199985688 is a wasteful number, since it uses less digits than its factorization.

199985688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1402 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 63.

The square root of 199985688 is about 14141.6296090656. The cubic root of 199985688 is about 584.7895977959.

The spelling of 199985688 in words is "one hundred ninety-nine million, nine hundred eighty-five thousand, six hundred eighty-eight".