23168 has 16 divisors (see below), whose sum is σ = 46410. Its totient is φ = 11520.

The previous prime is 23167. The next prime is 23173. The reversal of 23168 is 86132.

It can be written as a sum of positive squares in only one way, i.e., 23104 + 64 = 152^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a nialpdrome in base 8.

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (23167) by changing a digit.

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 as a sum of consecutive naturals, namely, 38 + ... + 218.

2²³¹⁶⁸ 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 23168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205).

23168 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.

23168 is an equidigital number, since it uses as much as digits as its factorization.

23168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 183 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 23168 is about 152.2103807235. The cubic root of 23168 is about 28.5077438688.

It can be divided in two parts, 2316 and 8, that multiplied together give a triangular number (18528 = T₁₉₂).

The spelling of 23168 in words is "twenty-three thousand, one hundred sixty-eight".