85020 has 48 divisors (see below), whose sum is σ = 258720. Its totient is φ = 20736.

The previous prime is 85009. The next prime is 85021. The reversal of 85020 is 2058.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 726 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (5390).

2⁸⁵⁰²⁰ 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 85020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129360).

85020 is an abundant number, since it is smaller than the sum of its proper divisors (173700).

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

85020 is a wasteful number, since it uses less digits than its factorization.

85020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 85020 is about 291.5818924419. The cubic root of 85020 is about 43.9717449450.

Adding to 85020 its reverse (2058), we get a palindrome (87078).

The spelling of 85020 in words is "eighty-five thousand, twenty".