199768736 has 36 divisors (see below), whose sum is σ = 415107882. Its totient is φ = 94621824.

The previous prime is 199768693. The next prime is 199768739. The reversal of 199768736 is 637867991.

It can be written as a sum of positive squares in only one way, i.e., 197683600 + 2085136 = 14060^2 + 1444^2 .

It is not an unprimeable number, because it can be changed into a prime (199768739) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 2906 + ... + 20198.

Almost surely, 2^199768736 is an apocalyptic number.

199768736 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 199768736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207553941).

199768736 is an abundant number, since it is smaller than the sum of its proper divisors (215339146).

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

199768736 is a wasteful number, since it uses less digits than its factorization.

199768736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17341 (or 17314 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 56.

The square root of 199768736 is about 14133.9568415925. The cubic root of 199768736 is about 584.5780540266.

The spelling of 199768736 in words is "one hundred ninety-nine million, seven hundred sixty-eight thousand, seven hundred thirty-six".