96883584 has 192 divisors, whose sum is σ = 316281600. Its totient is φ = 26127360.

The previous prime is 96883583. The next prime is 96883607. The reversal of 96883584 is 48538869.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96883583) by changing a digit.

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, 357369 + ... + 357639.

It is an arithmetic number, because the mean of its divisors is an integer number (1647300).

Almost surely, 2^96883584 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 96883584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158140800).

96883584 is an abundant number, since it is smaller than the sum of its proper divisors (219398016).

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

96883584 is a wasteful number, since it uses less digits than its factorization.

96883584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 302 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 51.

The square root of 96883584 is about 9842.9459004914. The cubic root of 96883584 is about 459.2862023376.

The spelling of 96883584 in words is "ninety-six million, eight hundred eighty-three thousand, five hundred eighty-four".