210980 has 48 divisors (see below), whose sum is σ = 556416. Its totient is φ = 65280.

The previous prime is 210967. The next prime is 211007. The reversal of 210980 is 89012.

210980 = T₂₈₈ + T₂₈₉ + ... + T₂₉₂.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

210980 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 15 ways as a sum of consecutive naturals, for example, 1472 + ... + 1608.

It is an arithmetic number, because the mean of its divisors is an integer number (11592).

2²¹⁰⁹⁸⁰ is an apocalyptic number.

210980 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 210980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278208).

210980 is an abundant number, since it is smaller than the sum of its proper divisors (345436).

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

210980 is a wasteful number, since it uses less digits than its factorization.

210980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 210980 is about 459.3255925811. The cubic root of 210980 is about 59.5315370793.

Adding to 210980 its reverse (89012), we get a palindrome (299992).

The spelling of 210980 in words is "two hundred ten thousand, nine hundred eighty".