86430 has 32 divisors (see below), whose sum is σ = 215424. Its totient is φ = 22176.

The previous prime is 86423. The next prime is 86441. The reversal of 86430 is 3468.

It is a nialpdrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 86397 and 86406.

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 86430.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1257 + ... + 1323.

It is an arithmetic number, because the mean of its divisors is an integer number (6732).

2⁸⁶⁴³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107712).

86430 is an abundant number, since it is smaller than the sum of its proper divisors (128994).

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

86430 is a wasteful number, since it uses less digits than its factorization.

86430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 86430 is about 293.9897957413. The cubic root of 86430 is about 44.2134941020.

Adding to 86430 its reverse (3468), we get a palindrome (89898).

The spelling of 86430 in words is "eighty-six thousand, four hundred thirty".