85480 has 16 divisors (see below), whose sum is σ = 192420. Its totient is φ = 34176.

The previous prime is 85469. The next prime is 85487. The reversal of 85480 is 8458.

It can be written as a sum of positive squares in 2 ways, for example, as 75076 + 10404 = 274^2 + 102^2 .

It is not an unprimeable number, because it can be changed into a prime (85487) by changing a digit.

85480 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, 1029 + ... + 1108.

2⁸⁵⁴⁸⁰ is an apocalyptic number.

It is an amenable number.

85480 is an abundant number, since it is smaller than the sum of its proper divisors (106940).

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 (96210).

85480 is a wasteful number, since it uses less digits than its factorization.

85480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The square root of 85480 is about 292.3696290657. The cubic root of 85480 is about 44.0509052704.

It can be divided in two parts, 85 and 480, that added together give a palindrome (565).

The spelling of 85480 in words is "eighty-five thousand, four hundred eighty".