96384834 has 144 divisors (see below), whose sum is σ = 272930112. Its totient is φ = 23934528.

The previous prime is 96384833. The next prime is 96384901. The reversal of 96384834 is 43848369.

96384834 is a `hidden beast` number, since 9 + 638 + 4 + 8 + 3 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 96384834.

It is not an unprimeable number, because it can be changed into a prime (96384833) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 591237 + ... + 591399.

It is an arithmetic number, because the mean of its divisors is an integer number (1895348).

Almost surely, 2^96384834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96384834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136465056).

96384834 is an abundant number, since it is smaller than the sum of its proper divisors (176545278).

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

96384834 is a wasteful number, since it uses less digits than its factorization.

96384834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 207 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 96384834 is about 9817.5778071783. The cubic root of 96384834 is about 458.4967215018.

The spelling of 96384834 in words is "ninety-six million, three hundred eighty-four thousand, eight hundred thirty-four".