89776 has 20 divisors (see below), whose sum is σ = 180544. Its totient is φ = 43200.

The previous prime is 89767. The next prime is 89779. The reversal of 89776 is 67798.

89776 is an admirable number.

It is an Ulam number.

89776 is a Rhonda number in base 12.

It is not an unprimeable number, because it can be changed into a prime (89779) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 406 + ... + 586.

2⁸⁹⁷⁷⁶ is an apocalyptic number.

89776 is the 190-th centered pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90272).

89776 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

89776 is a wasteful number, since it uses less digits than its factorization.

89776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 214 counting only the distinct ones).

The product of its digits is 21168, while the sum is 37.

The square root of 89776 is about 299.6264340808. The cubic root of 89776 is about 44.7768375164.

The spelling of 89776 in words is "eighty-nine thousand, seven hundred seventy-six".