199760 has 40 divisors (see below), whose sum is σ = 508896. Its totient is φ = 72320.

The previous prime is 199753. The next prime is 199777. The reversal of 199760 is 67991.

It is a tau number, because it is divible by the number of its divisors (40).

Together with 309135 it forms a betrothed pair.

It is a congruent number.

It is an unprimeable number.

199760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 767 + ... + 993.

2¹⁹⁹⁷⁶⁰ is an apocalyptic number.

199760 is a gapful number since it is divisible by the number (10) 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 199760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448).

199760 is an abundant number, since it is smaller than the sum of its proper divisors (309136).

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

199760 is a wasteful number, since it uses less digits than its factorization.

199760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 199760 is about 446.9451867959. The cubic root of 199760 is about 58.4569532593.

Subtracting from 199760 its reverse (67991), we obtain a square (131769 = 363²).

It can be divided in two parts, 199 and 760, that added together give a palindrome (959).

The spelling of 199760 in words is "one hundred ninety-nine thousand, seven hundred sixty".