716688 has 100 divisors (see below), whose sum is σ = 2400640. Its totient is φ = 202176.

The previous prime is 716687. The next prime is 716693. The reversal of 716688 is 886617.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (716687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9033 + ... + 9111.

2⁷¹⁶⁶⁸⁸ 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 716688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200320).

716688 is an abundant number, since it is smaller than the sum of its proper divisors (1683952).

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

716688 is a wasteful number, since it uses less digits than its factorization.

716688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 91 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 716688 is about 846.5742731739. The cubic root of 716688 is about 89.4904539198.

The spelling of 716688 in words is "seven hundred sixteen thousand, six hundred eighty-eight".