85888 has 32 divisors (see below), whose sum is σ = 189720. Its totient is φ = 38400.

The previous prime is 85853. The next prime is 85889. The reversal of 85888 is 88858.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1378 + ... + 1438.

2⁸⁵⁸⁸⁸ is an apocalyptic number.

85888 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 85888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94860).

85888 is an abundant number, since it is smaller than the sum of its proper divisors (103832).

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

85888 is a wasteful number, since it uses less digits than its factorization.

85888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its digits is 20480, while the sum is 37.

The square root of 85888 is about 293.0665453442. The cubic root of 85888 is about 44.1208797283.

It can be divided in two parts, 858 and 88, that added together give a triangular number (946 = T₄₃).

The spelling of 85888 in words is "eighty-five thousand, eight hundred eighty-eight".