86208 has 28 divisors (see below), whose sum is σ = 228600. Its totient is φ = 28672.

The previous prime is 86201. The next prime is 86209. The reversal of 86208 is 80268.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33 + ... + 416.

2⁸⁶²⁰⁸ 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 86208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114300).

86208 is an abundant number, since it is smaller than the sum of its proper divisors (142392).

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

86208 is a wasteful number, since it uses less digits than its factorization.

86208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 454 counting only the distinct ones).

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

The square root of 86208 is about 293.6119888560. The cubic root of 86208 is about 44.1756067500.

It can be divided in two parts, 8 and 6208, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 86208 in words is "eighty-six thousand, two hundred eight".