86820 has 24 divisors (see below), whose sum is σ = 243264. Its totient is φ = 23136.

The previous prime is 86813. The next prime is 86837. The reversal of 86820 is 2868.

86820 = T₈₃ + T₈₄ + ... + T₁₀₂.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86820.

It is an unprimeable number.

86820 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 7 ways as a sum of consecutive naturals, for example, 664 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (10136).

2⁸⁶⁸²⁰ is an apocalyptic number.

It is an amenable number.

86820 is an abundant number, since it is smaller than the sum of its proper divisors (156444).

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 (121632).

86820 is a wasteful number, since it uses less digits than its factorization.

86820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1457 counting only the distinct ones).

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

The square root of 86820 is about 294.6523375098. The cubic root of 86820 is about 44.2798961684.

It can be divided in two parts, 868 and 20, that added together give a palindrome (888).

The spelling of 86820 in words is "eighty-six thousand, eight hundred twenty".