89766 has 12 divisors (see below), whose sum is σ = 194532. Its totient is φ = 29916.

The previous prime is 89759. The next prime is 89767. The reversal of 89766 is 66798.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 89766.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89767) by changing a digit.

89766 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 5 ways as a sum of consecutive naturals, for example, 2476 + ... + 2511.

It is an arithmetic number, because the mean of its divisors is an integer number (16211).

2⁸⁹⁷⁶⁶ is an apocalyptic number.

89766 is an abundant number, since it is smaller than the sum of its proper divisors (104766).

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

89766 is a wasteful number, since it uses less digits than its factorization.

89766 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4995 (or 4992 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 89766 is about 299.6097461699. The cubic root of 89766 is about 44.7751749154.

The spelling of 89766 in words is "eighty-nine thousand, seven hundred sixty-six".