96688512 has 128 divisors (see below), whose sum is σ = 289231200. Its totient is φ = 31795200.

The previous prime is 96688507. The next prime is 96688513. The reversal of 96688512 is 21588669.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96688513) 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 15 ways as a sum of consecutive naturals, for example, 348918 + ... + 349194.

Almost surely, 2^96688512 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 96688512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144615600).

96688512 is an abundant number, since it is smaller than the sum of its proper divisors (192542688).

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

96688512 is a wasteful number, since it uses less digits than its factorization.

96688512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 383 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 96688512 is about 9833.0316789889. The cubic root of 96688512 is about 458.9777425236.

The spelling of 96688512 in words is "ninety-six million, six hundred eighty-eight thousand, five hundred twelve".