86802 has 32 divisors (see below), whose sum is σ = 196992. Its totient is φ = 25344.

The previous prime is 86783. The next prime is 86813. The reversal of 86802 is 20868.

It is a plaindrome in base 15.

It is an unprimeable 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, 2328 + ... + 2364.

It is an arithmetic number, because the mean of its divisors is an integer number (6156).

2⁸⁶⁸⁰² is an apocalyptic number.

86802 is an abundant number, since it is smaller than the sum of its proper divisors (110190).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98496).

86802 is a wasteful number, since it uses less digits than its factorization.

86802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82.

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 86802 is about 294.6217914547. The cubic root of 86802 is about 44.2768358397.

It can be divided in two parts, 86 and 802, that added together give a palindrome (888).

The spelling of 86802 in words is "eighty-six thousand, eight hundred two".