89088 has 44 divisors (see below), whose sum is σ = 245640. Its totient is φ = 28672.

The previous prime is 89087. The next prime is 89101. The reversal of 89088 is 88098.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3058 + ... + 3086.

2⁸⁹⁰⁸⁸ 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 89088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122820).

89088 is an abundant number, since it is smaller than the sum of its proper divisors (156552).

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

89088 is a wasteful number, since it uses less digits than its factorization.

89088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 89088 is about 298.4761296988. The cubic root of 89088 is about 44.6621613733.

Subtracting from 89088 its reverse (88098), we obtain a triangular number (990 = T₄₄).

The spelling of 89088 in words is "eighty-nine thousand, eighty-eight".