89901216 has 72 divisors (see below), whose sum is σ = 256573044. Its totient is φ = 29859840.

The previous prime is 89901187. The next prime is 89901221. The reversal of 89901216 is 61210998.

It can be written as a sum of positive squares in 2 ways, for example, as 82083600 + 7817616 = 9060^2 + 2796^2 .

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 unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155520 + ... + 156096.

Almost surely, 2^89901216 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 89901216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128286522).

89901216 is an abundant number, since it is smaller than the sum of its proper divisors (166671828).

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

89901216 is a wasteful number, since it uses less digits than its factorization.

89901216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 89901216 is about 9481.6251771519. The cubic root of 89901216 is about 447.9764549701.

The spelling of 89901216 in words is "eighty-nine million, nine hundred one thousand, two hundred sixteen".