85590 has 32 divisors (see below), whose sum is σ = 228960. Its totient is φ = 22752.

The previous prime is 85577. The next prime is 85597. The reversal of 85590 is 9558.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85597) by changing a digit.

85590 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112 + ... + 428.

It is an arithmetic number, because the mean of its divisors is an integer number (7155).

2⁸⁵⁵⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114480).

85590 is an abundant number, since it is smaller than the sum of its proper divisors (143370).

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

85590 is a wasteful number, since it uses less digits than its factorization.

85590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 85590 is about 292.5576866192. The cubic root of 85590 is about 44.0697928173.

The spelling of 85590 in words is "eighty-five thousand, five hundred ninety".