716864 has 28 divisors (see below), whose sum is σ = 1487424. Its totient is φ = 342144.

The previous prime is 716861. The next prime is 716869. The reversal of 716864 is 468617.

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 716864.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 716864.

It is not an unprimeable number, because it can be changed into a prime (716861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1229 + ... + 1715.

2⁷¹⁶⁸⁶⁴ 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 716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743712).

716864 is an abundant number, since it is smaller than the sum of its proper divisors (770560).

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

716864 is a wasteful number, since it uses less digits than its factorization.

716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its digits is 8064, while the sum is 32.

The square root of 716864 is about 846.6782151443. The cubic root of 716864 is about 89.4977788323.

The spelling of 716864 in words is "seven hundred sixteen thousand, eight hundred sixty-four".