85855968 has 144 divisors (see below), whose sum is σ = 273257712. Its totient is φ = 25344000.

The previous prime is 85855951. The next prime is 85855997. The reversal of 85855968 is 86955858.

85855968 is a `hidden beast` number, since 8 + 585 + 59 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129558 + ... + 130218.

It is an arithmetic number, because the mean of its divisors is an integer number (1897623).

Almost surely, 2^85855968 is an apocalyptic number.

85855968 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 85855968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136628856).

85855968 is an abundant number, since it is smaller than the sum of its proper divisors (187401744).

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

85855968 is a wasteful number, since it uses less digits than its factorization.

85855968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its digits is 3456000, while the sum is 54.

The square root of 85855968 is about 9265.8495563008. The cubic root of 85855968 is about 441.1539407350.

The spelling of 85855968 in words is "eighty-five million, eight hundred fifty-five thousand, nine hundred sixty-eight".