199680 has 88 divisors (see below), whose sum is σ = 687792. Its totient is φ = 49152.

The previous prime is 199679. The next prime is 199687. The reversal of 199680 is 86991.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (199687) 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, 15354 + ... + 15366.

2¹⁹⁹⁶⁸⁰ is an apocalyptic number.

199680 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 199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343896).

199680 is an abundant number, since it is smaller than the sum of its proper divisors (488112).

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

199680 is a wasteful number, since it uses less digits than its factorization.

199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 199680 is about 446.8556814006. The cubic root of 199680 is about 58.4491485925.

It can be divided in two parts, 1 and 99680, that added together give a triangular number (99681 = T₄₄₆).

The spelling of 199680 in words is "one hundred ninety-nine thousand, six hundred eighty".