199075968 has 320 divisors, whose sum is σ = 732621120. Its totient is φ = 52254720.

The previous prime is 199075937. The next prime is 199075979. The reversal of 199075968 is 869570991.

199075968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×199075968³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 943383 + ... + 943593.

It is an arithmetic number, because the mean of its divisors is an integer number (2289441).

Almost surely, 2^199075968 is an apocalyptic number.

199075968 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 199075968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366310560).

199075968 is an abundant number, since it is smaller than the sum of its proper divisors (533545152).

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

199075968 is a wasteful number, since it uses less digits than its factorization.

199075968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 199075968 is about 14109.4283371085. The cubic root of 199075968 is about 583.9015284024.

The spelling of 199075968 in words is "one hundred ninety-nine million, seventy-five thousand, nine hundred sixty-eight".