86840 has 32 divisors (see below), whose sum is σ = 211680. Its totient is φ = 31872.

The previous prime is 86837. The next prime is 86843. The reversal of 86840 is 4868.

86840 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (86837) and next prime (86843).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437 + ... + 603.

It is an arithmetic number, because the mean of its divisors is an integer number (6615).

2⁸⁶⁸⁴⁰ 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 86840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840).

86840 is an abundant number, since it is smaller than the sum of its proper divisors (124840).

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

86840 is a wasteful number, since it uses less digits than its factorization.

86840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 86840 is about 294.6862738575. The cubic root of 86840 is about 44.2832960376.

The spelling of 86840 in words is "eighty-six thousand, eight hundred forty".