89676 has 36 divisors (see below), whose sum is σ = 235872. Its totient is φ = 28704.

The previous prime is 89671. The next prime is 89681. The reversal of 89676 is 67698.

89676 is a nontrivial binomial coefficient, being equal to C(424, 2).

It is an interprime number because it is at equal distance from previous prime (89671) and next prime (89681).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 89676.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89676.

It is not an unprimeable number, because it can be changed into a prime (89671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1666 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2⁸⁹⁶⁷⁶ is an apocalyptic number.

89676 is the 423-rd triangular number and also the 212-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936).

89676 is an abundant number, since it is smaller than the sum of its proper divisors (146196).

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

89676 is a wasteful number, since it uses less digits than its factorization.

89676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 105 counting only the distinct ones).

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

The square root of 89676 is about 299.4595131232. The cubic root of 89676 is about 44.7602059470.

The spelling of 89676 in words is "eighty-nine thousand, six hundred seventy-six".