86336 has 28 divisors (see below), whose sum is σ = 182880. Its totient is φ = 40320.

The previous prime is 86323. The next prime is 86341. The reversal of 86336 is 63368.

It is a plaindrome in base 14.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86336.

It is an unprimeable number.

86336 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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1181 + ... + 1251.

2⁸⁶³³⁶ 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 86336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

86336 is an abundant number, since it is smaller than the sum of its proper divisors (96544).

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

86336 is a wasteful number, since it uses less digits than its factorization.

86336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 2592, while the sum is 26.

The square root of 86336 is about 293.8298827553. The cubic root of 86336 is about 44.1974596385.

The spelling of 86336 in words is "eighty-six thousand, three hundred thirty-six".