85888768 has 108 divisors (see below), whose sum is σ = 205520112. Its totient is φ = 35696640.

The previous prime is 85888763. The next prime is 85888769. The reversal of 85888768 is 86788858.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85888763) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 514221 + ... + 514387.

It is an arithmetic number, because the mean of its divisors is an integer number (1902964).

Almost surely, 2^85888768 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 85888768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102760056).

85888768 is an abundant number, since it is smaller than the sum of its proper divisors (119631344).

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

85888768 is a wasteful number, since it uses less digits than its factorization.

85888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 217 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 58.

The square root of 85888768 is about 9267.6193275296. The cubic root of 85888768 is about 441.2101123571.

The spelling of 85888768 in words is "eighty-five million, eight hundred eighty-eight thousand, seven hundred sixty-eight".