89988 has 12 divisors (see below), whose sum is σ = 210000. Its totient is φ = 29992.

The previous prime is 89983. The next prime is 89989. The reversal of 89988 is 88998.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (89983) 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, 3738 + ... + 3761.

It is an arithmetic number, because the mean of its divisors is an integer number (17500).

2⁸⁹⁹⁸⁸ is an apocalyptic number.

It is an amenable number.

89988 is an abundant number, since it is smaller than the sum of its proper divisors (120012).

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 (105000).

89988 is a wasteful number, since it uses less digits than its factorization.

89988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7506 (or 7504 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 89988 is about 299.9799993333. The cubic root of 89988 is about 44.8120556416.

Subtracting from 89988 its product of digits (41472), we obtain a triangular number (48516 = T₃₁₁).

Subtracting from 89988 its reverse (88998), we obtain a triangular number (990 = T₄₄).

The spelling of 89988 in words is "eighty-nine thousand, nine hundred eighty-eight".