85380 has 24 divisors (see below), whose sum is σ = 239232. Its totient is φ = 22752.

The previous prime is 85369. The next prime is 85381. The reversal of 85380 is 8358.

It is a self number, because there is not a number n which added to its sum of digits gives 85380.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 85380.

It is not an unprimeable number, because it can be changed into a prime (85381) by changing a digit.

85380 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 652 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (9968).

2⁸⁵³⁸⁰ is an apocalyptic number.

It is an amenable number.

85380 is an abundant number, since it is smaller than the sum of its proper divisors (153852).

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 (119616).

85380 is a wasteful number, since it uses less digits than its factorization.

85380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 85380 is about 292.1985626248. The cubic root of 85380 is about 44.0337207070.

It can be divided in two parts, 85 and 380, that added together give a triangular number (465 = T₃₀).

The spelling of 85380 in words is "eighty-five thousand, three hundred eighty".