89281984 has 56 divisors (see below), whose sum is σ = 199558656. Its totient is φ = 39264000.

The previous prime is 89281963. The next prime is 89281991. The reversal of 89281984 is 48918298.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19779 + ... + 23869.

Almost surely, 2^89281984 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 89281984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99779328).

89281984 is an abundant number, since it is smaller than the sum of its proper divisors (110276672).

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

89281984 is a wasteful number, since it uses less digits than its factorization.

89281984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4145 (or 4135 counting only the distinct ones).

The product of its digits is 331776, while the sum is 49.

The square root of 89281984 is about 9448.9144350026. The cubic root of 89281984 is about 446.9455430325.

The spelling of 89281984 in words is "eighty-nine million, two hundred eighty-one thousand, nine hundred eighty-four".