96588096 has 224 divisors, whose sum is σ = 307238400. Its totient is φ = 26449920.

The previous prime is 96588083. The next prime is 96588097. The reversal of 96588096 is 69088569.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96588097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163671 + ... + 1163753.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 2^96588096 is an apocalyptic number.

96588096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96588096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

96588096 is an abundant number, since it is smaller than the sum of its proper divisors (210650304).

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

96588096 is a wasteful number, since it uses less digits than its factorization.

96588096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The square root of 96588096 is about 9827.9242976327. The cubic root of 96588096 is about 458.8187968108.

The spelling of 96588096 in words is "ninety-six million, five hundred eighty-eight thousand, ninety-six".