86200 has 24 divisors (see below), whose sum is σ = 200880. Its totient is φ = 34400.

The previous prime is 86197. The next prime is 86201. The reversal of 86200 is 268.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86201) 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 5 ways as a sum of consecutive naturals, for example, 16 + ... + 415.

It is an arithmetic number, because the mean of its divisors is an integer number (8370).

2⁸⁶²⁰⁰ 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 86200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100440).

86200 is an abundant number, since it is smaller than the sum of its proper divisors (114680).

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

86200 is a wasteful number, since it uses less digits than its factorization.

86200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 86200 is about 293.5983651181. The cubic root of 86200 is about 44.1742402265.

Adding to 86200 its reverse (268), we get a palindrome (86468).

The spelling of 86200 in words is "eighty-six thousand, two hundred".