86388 has 24 divisors (see below), whose sum is σ = 211008. Its totient is φ = 27456.

The previous prime is 86381. The next prime is 86389. The reversal of 86388 is 88368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86381) by changing a digit.

86388 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120 + ... + 432.

It is an arithmetic number, because the mean of its divisors is an integer number (8792).

2⁸⁶³⁸⁸ 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 86388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105504).

86388 is an abundant number, since it is smaller than the sum of its proper divisors (124620).

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

86388 is a wasteful number, since it uses less digits than its factorization.

86388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 86388 is about 293.9183560106. The cubic root of 86388 is about 44.2063312048.

It can be divided in two parts, 8638 and 8, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 86388 in words is "eighty-six thousand, three hundred eighty-eight".