210880 has 28 divisors (see below), whose sum is σ = 502920. Its totient is φ = 84224.

The previous prime is 210869. The next prime is 210901. The reversal of 210880 is 88012.

It is a happy number.

210880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a plaindrome in base 11 and base 14.

It is a congruent number.

It is an unprimeable number.

210880 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 3 ways as a sum of consecutive naturals, for example, 10 + ... + 649.

2²¹⁰⁸⁸⁰ is an apocalyptic number.

210880 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 210880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251460).

210880 is an abundant number, since it is smaller than the sum of its proper divisors (292040).

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

210880 is an equidigital number, since it uses as much as digits as its factorization.

210880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 210880 is about 459.2167244341. The cubic root of 210880 is about 59.5221300352.

Adding to 210880 its reverse (88012), we get a palindrome (298892).

The spelling of 210880 in words is "two hundred ten thousand, eight hundred eighty".