717664 has 24 divisors (see below), whose sum is σ = 1450008. Its totient is φ = 349440.

The previous prime is 717659. The next prime is 717667. The reversal of 717664 is 466717.

717664 is nontrivially palindromic in base 3.

717664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (717667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1039 + ... + 1585.

It is an arithmetic number, because the mean of its divisors is an integer number (60417).

2⁷¹⁷⁶⁶⁴ 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 717664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725004).

717664 is an abundant number, since it is smaller than the sum of its proper divisors (732344).

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

717664 is a wasteful number, since it uses less digits than its factorization.

717664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 590 counting only the distinct ones).

The product of its digits is 7056, while the sum is 31.

The square root of 717664 is about 847.1505179128. The cubic root of 717664 is about 89.5310587877.

It can be divided in two parts, 7 and 17664, that added together give a palindrome (17671).

The spelling of 717664 in words is "seven hundred seventeen thousand, six hundred sixty-four".