86412 has 24 divisors (see below), whose sum is σ = 212800. Its totient is φ = 27216.

The previous prime is 86399. The next prime is 86413. The reversal of 86412 is 21468.

Added to its reverse (21468) it gives a triangular number (107880 = T₄₆₄).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 86412.

It is not an unprimeable number, because it can be changed into a prime (86413) 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, 39 + ... + 417.

2⁸⁶⁴¹² 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 86412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106400).

86412 is an abundant number, since it is smaller than the sum of its proper divisors (126388).

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

86412 is a wasteful number, since it uses less digits than its factorization.

86412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 86412 is about 293.9591808398. The cubic root of 86412 is about 44.2104245731.

Adding to 86412 its reverse (21468), we get a triangular number (107880 = T₄₆₄).

The spelling of 86412 in words is "eighty-six thousand, four hundred twelve".