199601000 has 32 divisors (see below), whose sum is σ = 467068680. Its totient is φ = 79840000.

The previous prime is 199600987. The next prime is 199601009. The reversal of 199601000 is 106991.

It can be written as a sum of positive squares in 4 ways, for example, as 46485124 + 153115876 = 6818^2 + 12374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199601009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98801 + ... + 100800.

Almost surely, 2^199601000 is an apocalyptic number.

199601000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

199601000 is an abundant number, since it is smaller than the sum of its proper divisors (267467680).

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

199601000 is a wasteful number, since it uses less digits than its factorization.

199601000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199622 (or 199608 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 199601000 is about 14128.0218006627. The cubic root of 199601000 is about 584.4143943816.

Adding to 199601000 its reverse (106991), we get a palindrome (199707991).

The spelling of 199601000 in words is "one hundred ninety-nine million, six hundred one thousand".