211680 has 144 divisors (see below), whose sum is σ = 861840. Its totient is φ = 48384.

The previous prime is 211663. The next prime is 211681. The reversal of 211680 is 86112.

211680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211681) by changing a digit.

211680 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 23 ways as a sum of consecutive naturals, for example, 30237 + ... + 30243.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2²¹¹⁶⁸⁰ is an apocalyptic number.

211680 is a gapful number since it is divisible by the number (20) 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 211680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430920).

211680 is an abundant number, since it is smaller than the sum of its proper divisors (650160).

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

211680 is a wasteful number, since it uses less digits than its factorization.

211680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 211680 is about 460.0869483043. The cubic root of 211680 is about 59.5973033028.

Adding to 211680 its reverse (86112), we get a palindrome (297792).

The spelling of 211680 in words is "two hundred eleven thousand, six hundred eighty".