89811216 has 180 divisors, whose sum is σ = 288128880. Its totient is φ = 25891200.

The previous prime is 89811209. The next prime is 89811217. The reversal of 89811216 is 61211898.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (89811217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1522195 + ... + 1522253.

It is an arithmetic number, because the mean of its divisors is an integer number (1600716).

Almost surely, 2^89811216 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 89811216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144064440).

89811216 is an abundant number, since it is smaller than the sum of its proper divisors (198317664).

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

89811216 is a wasteful number, since it uses less digits than its factorization.

89811216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 106 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 89811216 is about 9476.8779669256. The cubic root of 89811216 is about 447.8269154930.

The spelling of 89811216 in words is "eighty-nine million, eight hundred eleven thousand, two hundred sixteen".