86716 has 24 divisors (see below), whose sum is σ = 183680. Its totient is φ = 34992.

The previous prime is 86711. The next prime is 86719. The reversal of 86716 is 61768.

86716 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86711) 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, 451 + ... + 613.

2⁸⁶⁷¹⁶ 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 86716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91840).

86716 is an abundant number, since it is smaller than the sum of its proper divisors (96964).

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

86716 is a wasteful number, since it uses less digits than its factorization.

86716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 191 counting only the distinct ones).

The product of its digits is 2016, while the sum is 28.

The square root of 86716 is about 294.4758054578. The cubic root of 86716 is about 44.2622084267.

It can be divided in two parts, 8 and 6716, that added together give a square (6724 = 82²).

The spelling of 86716 in words is "eighty-six thousand, seven hundred sixteen".