96831600 has 240 divisors, whose sum is σ = 339502080. Its totient is φ = 23500800.

The previous prime is 96831593. The next prime is 96831611. The reversal of 96831600 is 613869.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 706732 + ... + 706868.

It is an arithmetic number, because the mean of its divisors is an integer number (1414592).

Almost surely, 2^96831600 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 96831600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169751040).

96831600 is an abundant number, since it is smaller than the sum of its proper divisors (242670480).

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

96831600 is a wasteful number, since it uses less digits than its factorization.

96831600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 96831600 is about 9840.3048733258. The cubic root of 96831600 is about 459.2040425452.

The spelling of 96831600 in words is "ninety-six million, eight hundred thirty-one thousand, six hundred".