199116792 has 120 divisors (see below), whose sum is σ = 648869760. Its totient is φ = 56881440.

The previous prime is 199116781. The next prime is 199116793. The reversal of 199116792 is 297611991.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199116793) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28617 + ... + 34887.

It is an arithmetic number, because the mean of its divisors is an integer number (5407248).

Almost surely, 2^199116792 is an apocalyptic number.

199116792 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 199116792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324434880).

199116792 is an abundant number, since it is smaller than the sum of its proper divisors (449752968).

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

199116792 is a wasteful number, since it uses less digits than its factorization.

199116792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6303 (or 6283 counting only the distinct ones).

The product of its digits is 61236, while the sum is 45.

The square root of 199116792 is about 14110.8749551543. The cubic root of 199116792 is about 583.9414387391.

The spelling of 199116792 in words is "one hundred ninety-nine million, one hundred sixteen thousand, seven hundred ninety-two".