85280 has 48 divisors (see below), whose sum is σ = 222264. Its totient is φ = 30720.

The previous prime is 85259. The next prime is 85297. The reversal of 85280 is 8258.

It can be written as a sum of positive squares in 4 ways, for example, as 29584 + 55696 = 172^2 + 236^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2060 + ... + 2100.

2⁸⁵²⁸⁰ is an apocalyptic number.

85280 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 85280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111132).

85280 is an abundant number, since it is smaller than the sum of its proper divisors (136984).

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

85280 is a wasteful number, since it uses less digits than its factorization.

85280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85280 is about 292.0273959751. The cubic root of 85280 is about 44.0165227203.

The spelling of 85280 in words is "eighty-five thousand, two hundred eighty".