85845888 has 96 divisors (see below), whose sum is σ = 252921240. Its totient is φ = 27933696.

The previous prime is 85845871. The next prime is 85845889. The reversal of 85845888 is 88854858.

It is a happy number.

85845888 is a `hidden beast` number, since 8 + 58 + 4 + 588 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85845889) 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 11 ways as a sum of consecutive naturals, for example, 48670 + ... + 50402.

Almost surely, 2^85845888 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 85845888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126460620).

85845888 is an abundant number, since it is smaller than the sum of its proper divisors (167075352).

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

85845888 is a wasteful number, since it uses less digits than its factorization.

85845888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1796 (or 1781 counting only the distinct ones).

The product of its digits is 3276800, while the sum is 54.

The square root of 85845888 is about 9265.3056074800. The cubic root of 85845888 is about 441.1366753626.

The spelling of 85845888 in words is "eighty-five million, eight hundred forty-five thousand, eight hundred eighty-eight".