96889104 has 120 divisors (see below), whose sum is σ = 296430680. Its totient is φ = 29362176.

The previous prime is 96889099. The next prime is 96889127. The reversal of 96889104 is 40198869.

It can be written as a sum of positive squares in 4 ways, for example, as 63504 + 96825600 = 252^2 + 9840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 96889104.

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 23 ways as a sum of consecutive naturals, for example, 136302 + ... + 137010.

Almost surely, 2^96889104 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 96889104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148215340).

96889104 is an abundant number, since it is smaller than the sum of its proper divisors (199541576).

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

96889104 is a wasteful number, since it uses less digits than its factorization.

96889104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 96889104 is about 9843.2263003550. The cubic root of 96889104 is about 459.2949248737.

The spelling of 96889104 in words is "ninety-six million, eight hundred eighty-nine thousand, one hundred four".