199850 has 24 divisors (see below), whose sum is σ = 425568. Its totient is φ = 68400.

The previous prime is 199831. The next prime is 199853. The reversal of 199850 is 58991.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 199850.

It is not an unprimeable number, because it can be changed into a prime (199853) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65 + ... + 635.

It is an arithmetic number, because the mean of its divisors is an integer number (17732).

2¹⁹⁹⁸⁵⁰ is an apocalyptic number.

199850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199850 is an abundant number, since it is smaller than the sum of its proper divisors (225718).

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

199850 is a wasteful number, since it uses less digits than its factorization.

199850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 32.

The square root of 199850 is about 447.0458589451. The cubic root of 199850 is about 58.4657310190.

It can be divided in two parts, 1998 and 50, that added together give a 11-th power (2048 = 2¹¹).

The spelling of 199850 in words is "one hundred ninety-nine thousand, eight hundred fifty".