86016 has 52 divisors (see below), whose sum is σ = 262112. Its totient is φ = 24576.

The previous prime is 86011. The next prime is 86017. The reversal of 86016 is 61068.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 4.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 85983 and 86001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86011) by changing a digit.

86016 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 (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12285 + ... + 12291.

2⁸⁶⁰¹⁶ 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 86016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131056).

86016 is an abundant number, since it is smaller than the sum of its proper divisors (176096).

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

86016 is an equidigital number, since it uses as much as digits as its factorization.

86016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 86016 is about 293.2848444772. The cubic root of 86016 is about 44.1427868221.

Multiplying 86016 by its sum of digits (21), we get a square (1806336 = 1344²).

86016 divided by its sum of digits (21) gives a 12-th power (4096 = 2¹²).

The spelling of 86016 in words is "eighty-six thousand, sixteen".