89216 has 32 divisors (see below), whose sum is σ = 192780. Its totient is φ = 40960.

The previous prime is 89213. The next prime is 89227. The reversal of 89216 is 61298.

89216 = 8³ + 9³ + ... + 24³.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 1600 = 296^2 + 40^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

Its product of digits (864) is a multiple of the sum of its prime factors (72).

It is not an unprimeable number, because it can be changed into a prime (89213) 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, 2156 + ... + 2196.

2⁸⁹²¹⁶ 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 89216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96390).

89216 is an abundant number, since it is smaller than the sum of its proper divisors (103564).

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

89216 is a wasteful number, since it uses less digits than its factorization.

89216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 60 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 89216 is about 298.6904752415. The cubic root of 89216 is about 44.6835410612.

The spelling of 89216 in words is "eighty-nine thousand, two hundred sixteen".