86040 has 48 divisors (see below), whose sum is σ = 280800. Its totient is φ = 22848.

The previous prime is 86029. The next prime is 86069. The reversal of 86040 is 4068.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86040.

It is an unprimeable number.

86040 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 (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 241 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (5850).

2⁸⁶⁰⁴⁰ 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 86040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140400).

86040 is an abundant number, since it is smaller than the sum of its proper divisors (194760).

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

86040 is a wasteful number, since it uses less digits than its factorization.

86040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 86040 is about 293.3257574779. The cubic root of 86040 is about 44.1468919822.

It can be divided in two parts, 860 and 40, that added together give a square (900 = 30²).

The spelling of 86040 in words is "eighty-six thousand, forty".