86920 has 32 divisors (see below), whose sum is σ = 204120. Its totient is φ = 33280.

The previous prime is 86869. The next prime is 86923. The reversal of 86920 is 2968.

86920 = 69² + 70² + ... + 83².

It can be written as a sum of positive squares in 4 ways, for example, as 56644 + 30276 = 238^2 + 174^2 .

It is not an unprimeable number, because it can be changed into a prime (86923) by changing a digit.

86920 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, 1614 + ... + 1666.

2⁸⁶⁹²⁰ 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 86920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102060).

86920 is an abundant number, since it is smaller than the sum of its proper divisors (117200).

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

86920 is a wasteful number, since it uses less digits than its factorization.

86920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 86920 is about 294.8219801847. The cubic root of 86920 is about 44.2968902967.

The spelling of 86920 in words is "eighty-six thousand, nine hundred twenty".