89466 has 32 divisors (see below), whose sum is σ = 204288. Its totient is φ = 25920.

The previous prime is 89459. The next prime is 89477. The reversal of 89466 is 66498.

89466 = 30² + 31² + ... + 66².

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2400 + ... + 2436.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2⁸⁹⁴⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102144).

89466 is an abundant number, since it is smaller than the sum of its proper divisors (114822).

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

89466 is a wasteful number, since it uses less digits than its factorization.

89466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86.

The product of its digits is 10368, while the sum is 33.

The square root of 89466 is about 299.1086759023. The cubic root of 89466 is about 44.7252393634.

It can be divided in two parts, 89 and 466, that added together give a palindrome (555).

The spelling of 89466 in words is "eighty-nine thousand, four hundred sixty-six".