86420 has 24 divisors (see below), whose sum is σ = 189000. Its totient is φ = 33152.

The previous prime is 86413. The next prime is 86423. The reversal of 86420 is 2468.

It can be written as a sum of positive squares in 4 ways, for example, as 1156 + 85264 = 34^2 + 292^2 .

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

It is a straight-line number, since its digits are in arithmetic progression.

It is a plaindrome in base 14.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86392 and 86401.

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 86420.

It is not an unprimeable number, because it can be changed into a prime (86423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506 + ... + 654.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

2⁸⁶⁴²⁰ 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 86420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94500).

86420 is an abundant number, since it is smaller than the sum of its proper divisors (102580).

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

86420 is a wasteful number, since it uses less digits than its factorization.

86420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 185 counting only the distinct ones).

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

The square root of 86420 is about 293.9727878563. The cubic root of 86420 is about 44.2117888608.

Adding to 86420 its reverse (2468), we get a palindrome (88888).

It can be divided in two parts, 8 and 6420, that multiplied together give a triangular number (51360 = T₃₂₀).

The spelling of 86420 in words is "eighty-six thousand, four hundred twenty".