217009080 has 192 divisors, whose sum is σ = 760687200. Its totient is φ = 53452800.

The previous prime is 217009031. The next prime is 217009087. The reversal of 217009080 is 80900712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217009087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 360780 + ... + 361380.

Almost surely, 2^217009080 is an apocalyptic number.

217009080 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 217009080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380343600).

217009080 is an abundant number, since it is smaller than the sum of its proper divisors (543678120).

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

217009080 is a wasteful number, since it uses less digits than its factorization.

217009080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 217009080 is about 14731.2280547142. The cubic root of 217009080 is about 600.9328821332.

Adding to 217009080 its reverse (80900712), we get a palindrome (297909792).

The spelling of 217009080 in words is "two hundred seventeen million, nine thousand, eighty".