217968 has 40 divisors (see below), whose sum is σ = 595200. Its totient is φ = 68544.

The previous prime is 217937. The next prime is 217969. The reversal of 217968 is 869712.

217968 = T₁₅₇ + T₁₅₈ + ... + T₁₇₂.

217968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 217968.

It is not an unprimeable number, because it can be changed into a prime (217969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 793 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (14880).

2²¹⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297600).

217968 is an abundant number, since it is smaller than the sum of its proper divisors (377232).

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

217968 is a wasteful number, since it uses less digits than its factorization.

217968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 263 counting only the distinct ones).

The product of its digits is 6048, while the sum is 33.

The square root of 217968 is about 466.8704317046. The cubic root of 217968 is about 60.1816715909.

The spelling of 217968 in words is "two hundred seventeen thousand, nine hundred sixty-eight".