85578 has 16 divisors (see below), whose sum is σ = 181440. Its totient is φ = 26816.

The previous prime is 85577. The next prime is 85597. The reversal of 85578 is 87558.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (85571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318 + ... + 521.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2⁸⁵⁵⁷⁸ is an apocalyptic number.

85578 is an abundant number, since it is smaller than the sum of its proper divisors (95862).

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 (90720).

85578 is a wasteful number, since it uses less digits than its factorization.

85578 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861.

The product of its digits is 11200, while the sum is 33.

The square root of 85578 is about 292.5371771245. The cubic root of 85578 is about 44.0677331444.

The spelling of 85578 in words is "eighty-five thousand, five hundred seventy-eight".