89166 has 32 divisors (see below), whose sum is σ = 223488. Its totient is φ = 23040.

The previous prime is 89153. The next prime is 89189. The reversal of 89166 is 66198.

Its product of digits (2592) is a multiple of the sum of its prime divisors (216).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

89166 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, 366 + ... + 558.

It is an arithmetic number, because the mean of its divisors is an integer number (6984).

2⁸⁹¹⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111744).

89166 is an abundant number, since it is smaller than the sum of its proper divisors (134322).

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

89166 is a wasteful number, since it uses less digits than its factorization.

89166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216.

The product of its digits is 2592, while the sum is 30.

The square root of 89166 is about 298.6067648263. The cubic root of 89166 is about 44.6751920560.

The spelling of 89166 in words is "eighty-nine thousand, one hundred sixty-six".