217968296 has 64 divisors (see below), whose sum is σ = 510209280. Its totient is φ = 84994560.

The previous prime is 217968293. The next prime is 217968301. The reversal of 217968296 is 692869712.

It is a happy number.

It is a super-2 number, since 2×217968296² = 95020356122287232, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (217968293) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49580 + ... + 53796.

It is an arithmetic number, because the mean of its divisors is an integer number (7972020).

Almost surely, 2^217968296 is an apocalyptic number.

217968296 is a gapful number since it is divisible by the number (26) 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 217968296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255104640).

217968296 is an abundant number, since it is smaller than the sum of its proper divisors (292240984).

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

217968296 is a wasteful number, since it uses less digits than its factorization.

217968296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4314 (or 4310 counting only the distinct ones).

The product of its digits is 653184, while the sum is 50.

The square root of 217968296 is about 14763.7493882821. The cubic root of 217968296 is about 601.8169883310.

The spelling of 217968296 in words is "two hundred seventeen million, nine hundred sixty-eight thousand, two hundred ninety-six".