96715584 has 252 divisors, whose sum is σ = 340607904. Its totient is φ = 25694208.

The previous prime is 96715517. The next prime is 96715589. The reversal of 96715584 is 48551769.

96715584 is a `hidden beast` number, since 9 + 67 + 1 + 5 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×96715584² = 18707808376922112, which contains 22 as substring.

Its product of digits (302400) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96715589) 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 35 ways as a sum of consecutive naturals, for example, 1165207 + ... + 1165289.

Almost surely, 2^96715584 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 96715584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170303952).

96715584 is an abundant number, since it is smaller than the sum of its proper divisors (243892320).

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

96715584 is a wasteful number, since it uses less digits than its factorization.

96715584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 96715584 is about 9834.4081672463. The cubic root of 96715584 is about 459.0205752094.

The spelling of 96715584 in words is "ninety-six million, seven hundred fifteen thousand, five hundred eighty-four".