85446 has 24 divisors (see below), whose sum is σ = 190944. Its totient is φ = 27600.

The previous prime is 85439. The next prime is 85447. The reversal of 85446 is 64458.

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 85446.

It is not an unprimeable number, because it can be changed into a prime (85447) by changing a digit.

85446 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 11 ways as a sum of consecutive naturals, for example, 796 + ... + 896.

It is an arithmetic number, because the mean of its divisors is an integer number (7956).

2⁸⁵⁴⁴⁶ is an apocalyptic number.

85446 is an abundant number, since it is smaller than the sum of its proper divisors (105498).

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 (95472).

85446 is a wasteful number, since it uses less digits than its factorization.

85446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 153 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 85446 is about 292.3114777083. The cubic root of 85446 is about 44.0450640233.

It can be divided in two parts, 854 and 46, that added together give a square (900 = 30²).

The spelling of 85446 in words is "eighty-five thousand, four hundred forty-six".