85980 has 24 divisors (see below), whose sum is σ = 240912. Its totient is φ = 22912.

The previous prime is 85933. The next prime is 85991. The reversal of 85980 is 8958.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 85980.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 657 + ... + 776.

It is an arithmetic number, because the mean of its divisors is an integer number (10038).

2⁸⁵⁹⁸⁰ is an apocalyptic number.

It is an amenable number.

85980 is an abundant number, since it is smaller than the sum of its proper divisors (154932).

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 (120456).

85980 is a wasteful number, since it uses less digits than its factorization.

85980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 85980 is about 293.2234642726. The cubic root of 85980 is about 44.1366276499.

It can be divided in two parts, 859 and 80, that added together give a palindrome (939).

The spelling of 85980 in words is "eighty-five thousand, nine hundred eighty".