85671168 has 72 divisors (see below), whose sum is σ = 248762976. Its totient is φ = 25958400.

The previous prime is 85671151. The next prime is 85671193. The reversal of 85671168 is 86117658.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3378 + ... + 13518.

Almost surely, 2^85671168 is an apocalyptic number.

85671168 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124381488).

85671168 is an abundant number, since it is smaller than the sum of its proper divisors (163091808).

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

85671168 is a wasteful number, since it uses less digits than its factorization.

85671168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10171 (or 10157 counting only the distinct ones).

The product of its digits is 80640, while the sum is 42.

The square root of 85671168 is about 9255.8720820893. The cubic root of 85671168 is about 440.8371939283.

The spelling of 85671168 in words is "eighty-five million, six hundred seventy-one thousand, one hundred sixty-eight".