96084064 has 48 divisors (see below), whose sum is σ = 207809280. Its totient is φ = 43528320.

The previous prime is 96084019. The next prime is 96084067. The reversal of 96084064 is 46048069.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96084067) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10549 + ... + 17419.

It is an arithmetic number, because the mean of its divisors is an integer number (4329360).

Almost surely, 2^96084064 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 96084064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103904640).

96084064 is an abundant number, since it is smaller than the sum of its proper divisors (111725216).

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

96084064 is a wasteful number, since it uses less digits than its factorization.

96084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6923 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 96084064 is about 9802.2479054552. The cubic root of 96084064 is about 458.0193097762.

The spelling of 96084064 in words is "ninety-six million, eighty-four thousand, sixty-four".