199827792 has 60 divisors (see below), whose sum is σ = 592144020. Its totient is φ = 62690304.

The previous prime is 199827781. The next prime is 199827799. The reversal of 199827792 is 297728991.

It can be written as a sum of positive squares in 2 ways, for example, as 155151936 + 44675856 = 12456^2 + 6684^2 .

It is a super-2 number, since 2×199827792² = 79862292911190528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199827799) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38367 + ... + 43262.

It is an arithmetic number, because the mean of its divisors is an integer number (9869067).

Almost surely, 2^199827792 is an apocalyptic number.

199827792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

199827792 is an abundant number, since it is smaller than the sum of its proper divisors (392316228).

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

199827792 is a wasteful number, since it uses less digits than its factorization.

199827792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81660 (or 81651 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 199827792 is about 14136.0458403331. The cubic root of 199827792 is about 584.6356530298.

The spelling of 199827792 in words is "one hundred ninety-nine million, eight hundred twenty-seven thousand, seven hundred ninety-two".