85639168 has 30 divisors (see below), whose sum is σ = 171305876. Its totient is φ = 42811392.

The previous prime is 85639163. The next prime is 85639171. The reversal of 85639168 is 86193658.

It is not an unprimeable number, because it can be changed into a prime (85639163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13771 + ... + 18997.

Almost surely, 2^85639168 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 85639168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85652938).

85639168 is an abundant number, since it is smaller than the sum of its proper divisors (85666708).

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

85639168 is an frugal number, since it uses more digits than its factorization.

85639168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5229 counting only the distinct ones).

The product of its digits is 311040, while the sum is 46.

The square root of 85639168 is about 9254.1432882790. The cubic root of 85639168 is about 440.7822997428.

The spelling of 85639168 in words is "eighty-five million, six hundred thirty-nine thousand, one hundred sixty-eight".