85521168 has 60 divisors (see below), whose sum is σ = 242065980. Its totient is φ = 28182528.

The previous prime is 85521167. The next prime is 85521173. The reversal of 85521168 is 86112558.

It can be written as a sum of positive squares in 2 ways, for example, as 8573184 + 76947984 = 2928^2 + 8772^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85521167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9480 + ... + 16152.

It is an arithmetic number, because the mean of its divisors is an integer number (4034433).

Almost surely, 2^85521168 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 85521168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121032990).

85521168 is an abundant number, since it is smaller than the sum of its proper divisors (156544812).

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

85521168 is a wasteful number, since it uses less digits than its factorization.

85521168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6776 (or 6767 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 85521168 is about 9247.7655679629. The cubic root of 85521168 is about 440.5797591698.

The spelling of 85521168 in words is "eighty-five million, five hundred twenty-one thousand, one hundred sixty-eight".