96006 has 8 divisors (see below), whose sum is σ = 192024. Its totient is φ = 32000.

The previous prime is 96001. The next prime is 96013. The reversal of 96006 is 60069.

96006 is nontrivially palindromic in base 5.

It is a sphenic number, since it is the product of 3 distinct primes.

96006 is an admirable number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7995 + ... + 8006.

It is an arithmetic number, because the mean of its divisors is an integer number (24003).

2⁹⁶⁰⁰⁶ is an apocalyptic number.

96006 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012).

96006 is a wasteful number, since it uses less digits than its factorization.

96006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16006.

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 96006 is about 309.8483500037. The cubic root of 96006 is about 45.7895236108.

Subtracting from 96006 its reverse (60069), we obtain a cube (35937 = 33³).

It can be divided in two parts, 9600 and 6, that multiplied together give a square (57600 = 240²).

The spelling of 96006 in words is "ninety-six thousand, six".