86480 has 40 divisors (see below), whose sum is σ = 214272. Its totient is φ = 32384.

The previous prime is 86477. The next prime is 86491. The reversal of 86480 is 8468.

86480 is nontrivially palindromic in base 14.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 1817 + ... + 1863.

2⁸⁶⁴⁸⁰ is an apocalyptic number.

86480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136).

86480 is an abundant number, since it is smaller than the sum of its proper divisors (127792).

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

86480 is a wasteful number, since it uses less digits than its factorization.

86480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

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

The square root of 86480 is about 294.0748204114. The cubic root of 86480 is about 44.2220183357. Note that the first 3 decimals are identical.

The spelling of 86480 in words is "eighty-six thousand, four hundred eighty".