96096 has 96 divisors (see below), whose sum is σ = 338688. Its totient is φ = 23040.

The previous prime is 96079. The next prime is 96097. The reversal of 96096 is 69069.

It is a tau number, because it is divible by the number of its divisors (96).

96096 is a strobogrammatic number because it is the same when read upside-down.

It is a nialpdrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96097) by changing a digit.

96096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7386 + ... + 7398.

It is an arithmetic number, because the mean of its divisors is an integer number (3528).

2⁹⁶⁰⁹⁶ is an apocalyptic number.

96096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344).

96096 is an abundant number, since it is smaller than the sum of its proper divisors (242592).

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

96096 is a wasteful number, since it uses less digits than its factorization.

96096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 96096 is about 309.9935483200. The cubic root of 96096 is about 45.8038274739.

It can be divided in two parts, 9 and 6096, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 96096 in words is "ninety-six thousand, ninety-six".