89748 has 30 divisors (see below), whose sum is σ = 235466. Its totient is φ = 29808.

The previous prime is 89689. The next prime is 89753. The reversal of 89748 is 84798.

It can be written as a sum of positive squares in only one way, i.e., 63504 + 26244 = 252^2 + 162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 186 + ... + 462.

2⁸⁹⁷⁴⁸ 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 89748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117733).

89748 is an abundant number, since it is smaller than the sum of its proper divisors (145718).

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

89748 is a wasteful number, since it uses less digits than its factorization.

89748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 282 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 89748 is about 299.5797055877. The cubic root of 89748 is about 44.7721819224.

Subtracting from 89748 its reverse (84798), we obtain a triangular number (4950 = T₉₉).

The spelling of 89748 in words is "eighty-nine thousand, seven hundred forty-eight".