86784 has 36 divisors (see below), whose sum is σ = 233016. Its totient is φ = 28672.

The previous prime is 86783. The next prime is 86813. The reversal of 86784 is 48768.

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (86783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 712 + ... + 824.

2⁸⁶⁷⁸⁴ 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 86784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116508).

86784 is an abundant number, since it is smaller than the sum of its proper divisors (146232).

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

86784 is a wasteful number, since it uses less digits than its factorization.

86784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 118 counting only the distinct ones).

The product of its digits is 10752, while the sum is 33.

The square root of 86784 is about 294.5912422324. The cubic root of 86784 is about 44.2737750879.

The spelling of 86784 in words is "eighty-six thousand, seven hundred eighty-four".