168096 has 48 divisors (see below), whose sum is σ = 471744. Its totient is φ = 52224.

The previous prime is 168089. The next prime is 168109. The reversal of 168096 is 690861.

It is a tau number, because it is divible by the number of its divisors (48).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 168096.

It is an unprimeable number.

168096 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1581 + ... + 1683.

It is an arithmetic number, because the mean of its divisors is an integer number (9828).

2¹⁶⁸⁰⁹⁶ is an apocalyptic number.

168096 is a gapful number since it is divisible by the number (16) 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 168096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872).

168096 is an abundant number, since it is smaller than the sum of its proper divisors (303648).

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

168096 is a wasteful number, since it uses less digits than its factorization.

168096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 168096 is about 409.9951219222. The cubic root of 168096 is about 55.1889917137.

The spelling of 168096 in words is "one hundred sixty-eight thousand, ninety-six".