85867968 has 56 divisors (see below), whose sum is σ = 230428800. Its totient is φ = 28215040.

The previous prime is 85867967. The next prime is 85867979. The reversal of 85867968 is 86976858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85867963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10483 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (4114800).

Almost surely, 2^85867968 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 85867968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115214400).

85867968 is an abundant number, since it is smaller than the sum of its proper divisors (144560832).

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

85867968 is a wasteful number, since it uses less digits than its factorization.

85867968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385 (or 6375 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 57.

The square root of 85867968 is about 9266.4970727886. The cubic root of 85867968 is about 441.1744929877.

The spelling of 85867968 in words is "eighty-five million, eight hundred sixty-seven thousand, nine hundred sixty-eight".