86240 has 72 divisors (see below), whose sum is σ = 258552. Its totient is φ = 26880.

The previous prime is 86239. The next prime is 86243. The reversal of 86240 is 4268.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7835 + ... + 7845.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

2⁸⁶²⁴⁰ is an apocalyptic number.

86240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276).

86240 is an abundant number, since it is smaller than the sum of its proper divisors (172312).

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

86240 is a wasteful number, since it uses less digits than its factorization.

86240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 86240 is about 293.6664774876. Note that the first 3 decimals coincide. The cubic root of 86240 is about 44.1810719990.

The spelling of 86240 in words is "eighty-six thousand, two hundred forty".