199616832 has 112 divisors (see below), whose sum is σ = 590296000. Its totient is φ = 66147840.

The previous prime is 199616819. The next prime is 199616891. The reversal of 199616832 is 238616991.

It is a happy number.

199616832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 571794 + ... + 572142.

It is an arithmetic number, because the mean of its divisors is an integer number (5270500).

Almost surely, 2^199616832 is an apocalyptic number.

199616832 is a gapful number since it is divisible by the number (12) 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 199616832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295148000).

199616832 is an abundant number, since it is smaller than the sum of its proper divisors (390679168).

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

199616832 is a wasteful number, since it uses less digits than its factorization.

199616832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 199616832 is about 14128.5820944637. The cubic root of 199616832 is about 584.4298455468.

The spelling of 199616832 in words is "one hundred ninety-nine million, six hundred sixteen thousand, eight hundred thirty-two".