85064 has 32 divisors (see below), whose sum is σ = 192000. Its totient is φ = 35280.

The previous prime is 85061. The next prime is 85081. The reversal of 85064 is 46058.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85061) 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, 2729 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (6000).

2⁸⁵⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96000).

85064 is an abundant number, since it is smaller than the sum of its proper divisors (106936).

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

85064 is a wasteful number, since it uses less digits than its factorization.

85064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 85064 is about 291.6573331840. The cubic root of 85064 is about 43.9793291335.

The spelling of 85064 in words is "eighty-five thousand, sixty-four".