85536 has 72 divisors (see below), whose sum is σ = 275184. Its totient is φ = 25920.

The previous prime is 85531. The next prime is 85549. The reversal of 85536 is 63558.

It is a tau number, because it is divible by the number of its divisors (72).

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).

Its product of digits (3600) is a multiple of the sum of its prime divisors (16).

It is not an unprimeable number, because it can be changed into a prime (85531) by changing a digit.

85536 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, 7771 + ... + 7781.

It is an arithmetic number, because the mean of its divisors is an integer number (3822).

2⁸⁵⁵³⁶ 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 85536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137592).

85536 is an abundant number, since it is smaller than the sum of its proper divisors (189648).

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

85536 is a wasteful number, since it uses less digits than its factorization.

85536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 16 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 85536 is about 292.4653825669. The cubic root of 85536 is about 44.0605227723.

The spelling of 85536 in words is "eighty-five thousand, five hundred thirty-six".