199580 has 24 divisors (see below), whose sum is σ = 444528. Its totient is φ = 75008.

The previous prime is 199567. The next prime is 199583. The reversal of 199580 is 85991.

199580 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199583) by changing a digit.

199580 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, 47 + ... + 633.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2¹⁹⁹⁵⁸⁰ is an apocalyptic number.

199580 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 199580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222264).

199580 is an abundant number, since it is smaller than the sum of its proper divisors (244948).

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

199580 is a wasteful number, since it uses less digits than its factorization.

199580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 611 counting only the distinct ones).

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

The square root of 199580 is about 446.7437744390. The cubic root of 199580 is about 58.4393898271.

The spelling of 199580 in words is "one hundred ninety-nine thousand, five hundred eighty".