217207080 has 96 divisors (see below), whose sum is σ = 728732160. Its totient is φ = 56050560.

The previous prime is 217207063. The next prime is 217207127. The reversal of 217207080 is 80702712.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1429 + ... + 20891.

It is an arithmetic number, because the mean of its divisors is an integer number (7590960).

Almost surely, 2^217207080 is an apocalyptic number.

217207080 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 217207080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364366080).

217207080 is an abundant number, since it is smaller than the sum of its proper divisors (511525080).

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

217207080 is a wasteful number, since it uses less digits than its factorization.

217207080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19511 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 217207080 is about 14737.9469397878. The cubic root of 217207080 is about 601.1155911418.

Adding to 217207080 its reverse (80702712), we get a palindrome (297909792).

The spelling of 217207080 in words is "two hundred seventeen million, two hundred seven thousand, eighty".