96000768 has 288 divisors, whose sum is σ = 323769600. Its totient is φ = 27869184.

The previous prime is 96000761. The next prime is 96000809. The reversal of 96000768 is 86700069.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×96000768² = 18432294913179648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96000761) 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, 2232555 + ... + 2232597.

It is an arithmetic number, because the mean of its divisors is an integer number (1124200).

Almost surely, 2^96000768 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 96000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161884800).

96000768 is an abundant number, since it is smaller than the sum of its proper divisors (227768832).

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

96000768 is a wasteful number, since it uses less digits than its factorization.

96000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 96000768 is about 9797.9981628902. The cubic root of 96000768 is about 457.8869180466.

Adding to 96000768 its sum of digits (36), we get a square (96000804 = 9798²).

The spelling of 96000768 in words is "ninety-six million, seven hundred sixty-eight", and thus it is an aban number.