86724 has 48 divisors (see below), whose sum is σ = 248640. Its totient is φ = 25920.

The previous prime is 86719. The next prime is 86729. The reversal of 86724 is 42768.

It is an interprime number because it is at equal distance from previous prime (86719) and next prime (86729).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (86729) by changing a digit.

86724 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 15 ways as a sum of consecutive naturals, for example, 1152 + ... + 1224.

It is an arithmetic number, because the mean of its divisors is an integer number (5180).

86724 is a Friedman number, since it can be written as (8+7^4)*6^2, using all its digits and the basic arithmetic operations.

2⁸⁶⁷²⁴ 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 86724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124320).

86724 is an abundant number, since it is smaller than the sum of its proper divisors (161916).

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

86724 is a wasteful number, since it uses less digits than its factorization.

86724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 89 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 86724 is about 294.4893886034. The cubic root of 86724 is about 44.2635695241.

Subtracting from 86724 its reverse (42768), we obtain a triangular number (43956 = T₂₉₆).

The spelling of 86724 in words is "eighty-six thousand, seven hundred twenty-four".