96085680 has 80 divisors (see below), whose sum is σ = 300680160. Its totient is φ = 25380864.

The previous prime is 96085667. The next prime is 96085699. The reversal of 96085680 is 8658069.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24324 + ... + 27996.

It is an arithmetic number, because the mean of its divisors is an integer number (3758502).

Almost surely, 2^96085680 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 96085680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150340080).

96085680 is an abundant number, since it is smaller than the sum of its proper divisors (204594480).

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

96085680 is a wasteful number, since it uses less digits than its factorization.

96085680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3798 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 96085680 is about 9802.3303351805. The cubic root of 96085680 is about 458.0218775105.

The spelling of 96085680 in words is "ninety-six million, eighty-five thousand, six hundred eighty".