199481688 has 96 divisors (see below), whose sum is σ = 621622560. Its totient is φ = 56609280.

The previous prime is 199481641. The next prime is 199481699. The reversal of 199481688 is 886184991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77868 + ... + 80388.

It is an arithmetic number, because the mean of its divisors is an integer number (6475235).

Almost surely, 2^199481688 is an apocalyptic number.

199481688 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 199481688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310811280).

199481688 is an abundant number, since it is smaller than the sum of its proper divisors (422140872).

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

199481688 is a wasteful number, since it uses less digits than its factorization.

With its successor (199481689) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (2697).

199481688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697 (or 2690 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 199481688 is about 14123.7986391764. The cubic root of 199481688 is about 584.2979261139.

The spelling of 199481688 in words is "one hundred ninety-nine million, four hundred eighty-one thousand, six hundred eighty-eight".