199701936 has 100 divisors (see below), whose sum is σ = 660596112. Its totient is φ = 57055104.

The previous prime is 199701889. The next prime is 199701937. The reversal of 199701936 is 639107991.

It is a junction number, because it is equal to n+sod(n) for n = 199701891 and 199701900.

It is not an unprimeable number, because it can be changed into a prime (199701937) 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, 1935 + ... + 20078.

Almost surely, 2^199701936 is an apocalyptic number.

199701936 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 199701936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330298056).

199701936 is an abundant number, since it is smaller than the sum of its proper divisors (460894176).

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

199701936 is a wasteful number, since it uses less digits than its factorization.

199701936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22040 (or 22025 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The square root of 199701936 is about 14131.5935407158. The cubic root of 199701936 is about 584.5128883952.

The spelling of 199701936 in words is "one hundred ninety-nine million, seven hundred one thousand, nine hundred thirty-six".