89488 has 40 divisors (see below), whose sum is σ = 214272. Its totient is φ = 35328.

The previous prime is 89477. The next prime is 89491. The reversal of 89488 is 88498.

It is a congruent number.

It is an unprimeable number.

89488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1881 + ... + 1927.

2⁸⁹⁴⁸⁸ 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 89488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107136).

89488 is an abundant number, since it is smaller than the sum of its proper divisors (124784).

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

89488 is a wasteful number, since it uses less digits than its factorization.

89488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its digits is 18432, while the sum is 37.

The square root of 89488 is about 299.1454495726. The cubic root of 89488 is about 44.7289050935.

Subtracting from 89488 its reverse (88498), we obtain a triangular number (990 = T₄₄).

The spelling of 89488 in words is "eighty-nine thousand, four hundred eighty-eight".