90666 has 32 divisors (see below), whose sum is σ = 213120. Its totient is φ = 28512.

The previous prime is 90659. The next prime is 90677. The reversal of 90666 is 66609.

It is a Harshad number since it is a multiple of its sum of digits (27).

90666 is a modest number, since divided by 666 gives 90 as remainder.

It is a congruent number.

It is an unprimeable number.

90666 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206 + ... + 1278.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

2⁹⁰⁶⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560).

90666 is an abundant number, since it is smaller than the sum of its proper divisors (122454).

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

90666 is a wasteful number, since it uses less digits than its factorization.

90666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90666 is about 301.1079540630. The cubic root of 90666 is about 44.9243172295.

The spelling of 90666 in words is "ninety thousand, six hundred sixty-six".