217750968 has 96 divisors (see below), whose sum is σ = 613881840. Its totient is φ = 69672960.

The previous prime is 217750933. The next prime is 217750969. The reversal of 217750968 is 869057712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217750969) 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 23 ways as a sum of consecutive naturals, for example, 188280 + ... + 189432.

Almost surely, 2^217750968 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 217750968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306940920).

217750968 is an abundant number, since it is smaller than the sum of its proper divisors (396130872).

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

217750968 is a wasteful number, since it uses less digits than its factorization.

217750968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The square root of 217750968 is about 14756.3873627660. The cubic root of 217750968 is about 601.6169054472.

The spelling of 217750968 in words is "two hundred seventeen million, seven hundred fifty thousand, nine hundred sixty-eight".