81088 has 28 divisors (see below), whose sum is σ = 184912. Its totient is φ = 34560.

The previous prime is 81083. The next prime is 81097. The reversal of 81088 is 88018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (81083) 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, 358 + ... + 538.

It is an arithmetic number, because the mean of its divisors is an integer number (6604).

2⁸¹⁰⁸⁸ 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 81088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92456).

81088 is an abundant number, since it is smaller than the sum of its proper divisors (103824).

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

81088 is a wasteful number, since it uses less digits than its factorization.

81088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 25.

The square root of 81088 is about 284.7595476889. The cubic root of 81088 is about 43.2831503225.

It can be divided in two parts, 810 and 88, that added together give a palindrome (898).

The spelling of 81088 in words is "eighty-one thousand, eighty-eight".