85460 has 12 divisors (see below), whose sum is σ = 179508. Its totient is φ = 34176.

The previous prime is 85453. The next prime is 85469. The reversal of 85460 is 6458.

It can be written as a sum of positive squares in 2 ways, for example, as 26896 + 58564 = 164^2 + 242^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

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 85460.

It is not an unprimeable number, because it can be changed into a prime (85469) by changing a digit.

85460 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 3 ways as a sum of consecutive naturals, for example, 2117 + ... + 2156.

It is an arithmetic number, because the mean of its divisors is an integer number (14959).

2⁸⁵⁴⁶⁰ is an apocalyptic number.

It is an amenable number.

85460 is an abundant number, since it is smaller than the sum of its proper divisors (94048).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89754).

85460 is a wasteful number, since it uses less digits than its factorization.

85460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4282 (or 4280 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 85460 is about 292.3354237858. The cubic root of 85460 is about 44.0474694303.

It can be divided in two parts, 85 and 460, that added together give a palindrome (545).

The spelling of 85460 in words is "eighty-five thousand, four hundred sixty".