217332768 has 48 divisors (see below), whose sum is σ = 576404640. Its totient is φ = 71694336.

The previous prime is 217332763. The next prime is 217332769. The reversal of 217332768 is 867233712.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (217332763) 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, 2358 + ... + 20981.

It is an arithmetic number, because the mean of its divisors is an integer number (12008430).

Almost surely, 2^217332768 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 217332768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288202320).

217332768 is an abundant number, since it is smaller than the sum of its proper divisors (359071872).

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

217332768 is a wasteful number, since it uses less digits than its factorization.

217332768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23449 (or 23441 counting only the distinct ones).

The product of its digits is 84672, while the sum is 39.

The square root of 217332768 is about 14742.2104177087. The cubic root of 217332768 is about 601.2315149997.

The spelling of 217332768 in words is "two hundred seventeen million, three hundred thirty-two thousand, seven hundred sixty-eight".