96825768 has 128 divisors (see below), whose sum is σ = 276756480. Its totient is φ = 28005120.

The previous prime is 96825739. The next prime is 96825779. The reversal of 96825768 is 86752869.

It is a self number, because there is not a number n which added to its sum of digits gives 96825768.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 739063 + ... + 739193.

It is an arithmetic number, because the mean of its divisors is an integer number (2162160).

Almost surely, 2^96825768 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 96825768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138378240).

96825768 is an abundant number, since it is smaller than the sum of its proper divisors (179930712).

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

96825768 is a wasteful number, since it uses less digits than its factorization.

96825768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 275 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 51.

The square root of 96825768 is about 9840.0085365817. The cubic root of 96825768 is about 459.1948233380.

The spelling of 96825768 in words is "ninety-six million, eight hundred twenty-five thousand, seven hundred sixty-eight".