96816384 has 360 divisors, whose sum is σ = 356146560. Its totient is φ = 25546752.

The previous prime is 96816373. The next prime is 96816389. The reversal of 96816384 is 48361869.

96816384 is a `hidden beast` number, since 9 + 6 + 8 + 1 + 638 + 4 = 666.

It is a super-3 number, since 3×96816384³ (a number of 25 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (248832) is a multiple of the sum of its prime divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96816389) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3338482 + ... + 3338510.

It is an arithmetic number, because the mean of its divisors is an integer number (989296).

Almost surely, 2^96816384 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 96816384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178073280).

96816384 is an abundant number, since it is smaller than the sum of its proper divisors (259330176).

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

96816384 is a wasteful number, since it uses less digits than its factorization.

96816384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 64 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 96816384 is about 9839.5316961733. The cubic root of 96816384 is about 459.1799883634.

The spelling of 96816384 in words is "ninety-six million, eight hundred sixteen thousand, three hundred eighty-four".