217080 has 80 divisors (see below), whose sum is σ = 740520. Its totient is φ = 57024.

The previous prime is 217069. The next prime is 217081. The reversal of 217080 is 80712.

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 (217081) by changing a digit.

217080 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 19 ways as a sum of consecutive naturals, for example, 3207 + ... + 3273.

2²¹⁷⁰⁸⁰ is an apocalyptic number.

217080 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 217080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370260).

217080 is an abundant number, since it is smaller than the sum of its proper divisors (523440).

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

217080 is a wasteful number, since it uses less digits than its factorization.

217080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 217080 is about 465.9184477996. The cubic root of 217080 is about 60.0998337948.

Adding to 217080 its reverse (80712), we get a palindrome (297792).

The spelling of 217080 in words is "two hundred seventeen thousand, eighty".