89856 has 72 divisors (see below), whose sum is σ = 286160. Its totient is φ = 27648.

The previous prime is 89849. The next prime is 89867. The reversal of 89856 is 65898.

It is a tau number, because it is divible by the number of its divisors (72).

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.

Its product of digits (17280) is a multiple of the sum of its prime divisors (18).

It is a nialpdrome in base 12.

It is a zygodrome in base 4 and base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 89856.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 89856.

It is an unprimeable 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 7 ways as a sum of consecutive naturals, for example, 6906 + ... + 6918.

2⁸⁹⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143080).

89856 is an abundant number, since it is smaller than the sum of its proper divisors (196304).

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

89856 is a wasteful number, since it uses less digits than its factorization.

89856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38 (or 18 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 89856 is about 299.7599039231. The cubic root of 89856 is about 44.7901338818.

The spelling of 89856 in words is "eighty-nine thousand, eight hundred fifty-six".