89268 has 24 divisors (see below), whose sum is σ = 214368. Its totient is φ = 28896.

The previous prime is 89261. The next prime is 89269. The reversal of 89268 is 86298.

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 89268.

It is not an unprimeable number, because it can be changed into a prime (89261) by changing a digit.

89268 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, 430 + ... + 602.

It is an arithmetic number, because the mean of its divisors is an integer number (8932).

2⁸⁹²⁶⁸ is an apocalyptic number.

It is an amenable number.

89268 is an abundant number, since it is smaller than the sum of its proper divisors (125100).

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 (107184).

89268 is a wasteful number, since it uses less digits than its factorization.

89268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 89268 is about 298.7775091937. Note that the first 3 decimals coincide. The cubic root of 89268 is about 44.6922207183.

The spelling of 89268 in words is "eighty-nine thousand, two hundred sixty-eight".