96388768 has 96 divisors (see below), whose sum is σ = 231227136. Its totient is φ = 38658048.

The previous prime is 96388763. The next prime is 96388777. The reversal of 96388768 is 86788369.

It is not an unprimeable number, because it can be changed into a prime (96388763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 272880 + ... + 273232.

It is an arithmetic number, because the mean of its divisors is an integer number (2408616).

Almost surely, 2^96388768 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 96388768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115613568).

96388768 is an abundant number, since it is smaller than the sum of its proper divisors (134838368).

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

96388768 is a wasteful number, since it uses less digits than its factorization.

96388768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 55.

The square root of 96388768 is about 9817.7781600523. The cubic root of 96388768 is about 458.5029593489.

The spelling of 96388768 in words is "ninety-six million, three hundred eighty-eight thousand, seven hundred sixty-eight".