89991144 has 96 divisors (see below), whose sum is σ = 258804000. Its totient is φ = 28169856.

The previous prime is 89991137. The next prime is 89991169. The reversal of 89991144 is 44119998.

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

It is a self number, because there is not a number n which added to its sum of digits gives 89991144.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214567 + ... + 214985.

It is an arithmetic number, because the mean of its divisors is an integer number (2695875).

Almost surely, 2^89991144 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 89991144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129402000).

89991144 is an abundant number, since it is smaller than the sum of its proper divisors (168812856).

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

89991144 is a wasteful number, since it uses less digits than its factorization.

89991144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 89991144 is about 9486.3662168398. The cubic root of 89991144 is about 448.1257751660.

The spelling of 89991144 in words is "eighty-nine million, nine hundred ninety-one thousand, one hundred forty-four".