96039216 has 240 divisors, whose sum is σ = 346332000. Its totient is φ = 25256448.

The previous prime is 96039211. The next prime is 96039221. The reversal of 96039216 is 61293069.

It is an interprime number because it is at equal distance from previous prime (96039211) and next prime (96039221).

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 (96039211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 275010 + ... + 275358.

It is an arithmetic number, because the mean of its divisors is an integer number (1443050).

Almost surely, 2^96039216 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 96039216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173166000).

96039216 is an abundant number, since it is smaller than the sum of its proper divisors (250292784).

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

96039216 is a wasteful number, since it uses less digits than its factorization.

96039216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 96039216 is about 9799.9599999184. The cubic root of 96039216 is about 457.9480373025.

The spelling of 96039216 in words is "ninety-six million, thirty-nine thousand, two hundred sixteen".