86478 has 32 divisors (see below), whose sum is σ = 207360. Its totient is φ = 23520.

The previous prime is 86477. The next prime is 86491. The reversal of 86478 is 87468.

Its product of digits (10752) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86477) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183 + ... + 1253.

It is an arithmetic number, because the mean of its divisors is an integer number (6480).

2⁸⁶⁴⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680).

86478 is an abundant number, since it is smaller than the sum of its proper divisors (120882).

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

86478 is a wasteful number, since it uses less digits than its factorization.

86478 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112.

The product of its digits is 10752, while the sum is 33.

The square root of 86478 is about 294.0714198966. The cubic root of 86478 is about 44.2216774294.

Subtracting 86478 from its reverse (87468), we obtain a triangular number (990 = T₄₄).

The spelling of 86478 in words is "eighty-six thousand, four hundred seventy-eight".