85536288 has 72 divisors (see below), whose sum is σ = 248936688. Its totient is φ = 27844992.

The previous prime is 85536251. The next prime is 85536289. The reversal of 85536288 is 88263558.

It is a happy number.

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 (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (85536289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8931 + ... + 15837.

It is an arithmetic number, because the mean of its divisors is an integer number (3457454).

Almost surely, 2^85536288 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 85536288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124468344).

85536288 is an abundant number, since it is smaller than the sum of its proper divisors (163400400).

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

85536288 is a wasteful number, since it uses less digits than its factorization.

85536288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6955 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 85536288 is about 9248.5830266047. The cubic root of 85536288 is about 440.6057222289.

It can be divided in two parts, 8553 and 6288, that added together give a palindrome (14841).

The spelling of 85536288 in words is "eighty-five million, five hundred thirty-six thousand, two hundred eighty-eight".