217336064 has 72 divisors (see below), whose sum is σ = 478148832. Its totient is φ = 97771520.

The previous prime is 217336043. The next prime is 217336069. The reversal of 217336064 is 460633712.

217336064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 217336064.

It is not an unprimeable number, because it can be changed into a prime (217336069) 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, 317867 + ... + 318549.

It is an arithmetic number, because the mean of its divisors is an integer number (6640956).

Almost surely, 2^217336064 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 217336064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239074416).

217336064 is an abundant number, since it is smaller than the sum of its proper divisors (260812768).

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

217336064 is a wasteful number, since it uses less digits than its factorization.

217336064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 217336064 is about 14742.3222051344. The cubic root of 217336064 is about 601.2345543467.

Adding to 217336064 its reverse (460633712), we get a palindrome (677969776).

The spelling of 217336064 in words is "two hundred seventeen million, three hundred thirty-six thousand, sixty-four".