89148 has 48 divisors (see below), whose sum is σ = 241920. Its totient is φ = 25344.

The previous prime is 89137. The next prime is 89153. The reversal of 89148 is 84198.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (2304) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89148.

It is an unprimeable number.

89148 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 15 ways as a sum of consecutive naturals, for example, 3865 + ... + 3887.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

2⁸⁹¹⁴⁸ 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 89148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120960).

89148 is an abundant number, since it is smaller than the sum of its proper divisors (152772).

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

89148 is a wasteful number, since it uses less digits than its factorization.

89148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 64 counting only the distinct ones).

The product of its digits is 2304, while the sum is 30.

The square root of 89148 is about 298.5766233314. The cubic root of 89148 is about 44.6721856501.

Subtracting from 89148 its reverse (84198), we obtain a triangular number (4950 = T₉₉).

It can be divided in two parts, 891 and 48, that added together give a palindrome (939).

The spelling of 89148 in words is "eighty-nine thousand, one hundred forty-eight".