199779696 has 100 divisors (see below), whose sum is σ = 582905400. Its totient is φ = 66054528.

The previous prime is 199779691. The next prime is 199779739. The reversal of 199779696 is 696977991.

199779696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×199779696³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199779691) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 179590 + ... + 180698.

It is an arithmetic number, because the mean of its divisors is an integer number (5829054).

Almost surely, 2^199779696 is an apocalyptic number.

199779696 is a gapful number since it is divisible by the number (16) 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 199779696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291452700).

199779696 is an abundant number, since it is smaller than the sum of its proper divisors (383125704).

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

199779696 is a wasteful number, since it uses less digits than its factorization.

199779696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1253 counting only the distinct ones).

The product of its digits is 11573604, while the sum is 63.

The square root of 199779696 is about 14134.3445550192. The cubic root of 199779696 is about 584.5887444853.

The spelling of 199779696 in words is "one hundred ninety-nine million, seven hundred seventy-nine thousand, six hundred ninety-six".