86850 has 36 divisors (see below), whose sum is σ = 234546. Its totient is φ = 23040.

The previous prime is 86843. The next prime is 86851. The reversal of 86850 is 5868.

It can be written as a sum of positive squares in 3 ways, for example, as 53361 + 33489 = 231^2 + 183^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86851) by changing a digit.

86850 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 17 ways as a sum of consecutive naturals, for example, 354 + ... + 546.

2⁸⁶⁸⁵⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117273).

86850 is an abundant number, since it is smaller than the sum of its proper divisors (147696).

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

86850 is a wasteful number, since it uses less digits than its factorization.

86850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 86850 is about 294.7032405658. The cubic root of 86850 is about 44.2849957765.

The spelling of 86850 in words is "eighty-six thousand, eight hundred fifty".