86460 has 48 divisors (see below), whose sum is σ = 266112. Its totient is φ = 20800.

The previous prime is 86453. The next prime is 86461. The reversal of 86460 is 6468.

It is a self number, because there is not a number n which added to its sum of digits gives 86460.

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 86460.

It is not an unprimeable number, because it can be changed into a prime (86461) by changing a digit.

86460 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 595 + ... + 725.

It is an arithmetic number, because the mean of its divisors is an integer number (5544).

2⁸⁶⁴⁶⁰ 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 86460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133056).

86460 is an abundant number, since it is smaller than the sum of its proper divisors (179652).

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

86460 is a wasteful number, since it uses less digits than its factorization.

86460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 86460 is about 294.0408134936. The cubic root of 86460 is about 44.2186090366.

Subtracting from 86460 its sum of digits (24), we obtain a square (86436 = 294²).

The spelling of 86460 in words is "eighty-six thousand, four hundred sixty".