89100216 has 64 divisors (see below), whose sum is σ = 253562400. Its totient is φ = 28972800.

The previous prime is 89100173. The next prime is 89100217. The reversal of 89100216 is 61200198.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 89100216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89100217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3826 + ... + 13886.

Almost surely, 2^89100216 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 89100216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

89100216 is an abundant number, since it is smaller than the sum of its proper divisors (164462184).

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

89100216 is a wasteful number, since it uses less digits than its factorization.

89100216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10117 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 89100216 is about 9439.2910750755. The cubic root of 89100216 is about 446.6420268084.

The spelling of 89100216 in words is "eighty-nine million, one hundred thousand, two hundred sixteen".