210080 has 48 divisors (see below), whose sum is σ = 539784. Its totient is φ = 76800.

The previous prime is 210071. The next prime is 210097. The reversal of 210080 is 80012.

It can be written as a sum of positive squares in 4 ways, for example, as 183184 + 26896 = 428^2 + 164^2 .

It is an unprimeable number.

210080 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2030 + ... + 2130.

2²¹⁰⁰⁸⁰ is an apocalyptic number.

210080 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 210080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269892).

210080 is an abundant number, since it is smaller than the sum of its proper divisors (329704).

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

210080 is a wasteful number, since it uses less digits than its factorization.

210080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 210080 is about 458.3448483402. The cubic root of 210080 is about 59.4467664068.

Adding to 210080 its reverse (80012), we get a palindrome (290092).

The spelling of 210080 in words is "two hundred ten thousand, eighty".