81888 has 24 divisors (see below), whose sum is σ = 215208. Its totient is φ = 27264.

The previous prime is 81883. The next prime is 81899. The reversal of 81888 is 88818.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81883) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 331 + ... + 522.

It is an arithmetic number, because the mean of its divisors is an integer number (8967).

2⁸¹⁸⁸⁸ is an apocalyptic number.

It is an amenable number.

81888 is an abundant number, since it is smaller than the sum of its proper divisors (133320).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107604).

81888 is a wasteful number, since it uses less digits than its factorization.

81888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 858 counting only the distinct ones).

The product of its digits is 4096, while the sum is 33.

The square root of 81888 is about 286.1607939603. The cubic root of 81888 is about 43.4250260923.

It can be divided in two parts, 81 and 888, that added together give a palindrome (969).

The spelling of 81888 in words is "eighty-one thousand, eight hundred eighty-eight".