86864 has 20 divisors (see below), whose sum is σ = 172980. Its totient is φ = 42240.

The previous prime is 86861. The next prime is 86869. The reversal of 86864 is 46868.

It can be written as a sum of positive squares in 2 ways, for example, as 8464 + 78400 = 92^2 + 280^2 .

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 86864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86861) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 932 + ... + 1020.

It is an arithmetic number, because the mean of its divisors is an integer number (8649).

2⁸⁶⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

86864 is a deficient number, since it is larger than the sum of its proper divisors (86116).

86864 is a wasteful number, since it uses less digits than its factorization.

86864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 86864 is about 294.7269923166. The cubic root of 86864 is about 44.2873751917.

The spelling of 86864 in words is "eighty-six thousand, eight hundred sixty-four".