217065968 has 80 divisors (see below), whose sum is σ = 501872640. Its totient is φ = 88992000.

The previous prime is 217065949. The next prime is 217065983. The reversal of 217065968 is 869560712.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350363 + ... + 350981.

It is an arithmetic number, because the mean of its divisors is an integer number (6273408).

Almost surely, 2^217065968 is an apocalyptic number.

217065968 is a gapful number since it is divisible by the number (28) 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 217065968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250936320).

217065968 is an abundant number, since it is smaller than the sum of its proper divisors (284806672).

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

217065968 is a wasteful number, since it uses less digits than its factorization.

217065968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The square root of 217065968 is about 14733.1587923296. The cubic root of 217065968 is about 600.9853882050.

The spelling of 217065968 in words is "two hundred seventeen million, sixty-five thousand, nine hundred sixty-eight".