168288 has 24 divisors (see below), whose sum is σ = 442008. Its totient is φ = 56064.

The previous prime is 168281. The next prime is 168293. The reversal of 168288 is 882861.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168281) 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, 781 + ... + 972.

It is an arithmetic number, because the mean of its divisors is an integer number (18417).

2¹⁶⁸²⁸⁸ is an apocalyptic number.

It is an amenable number.

168288 is an abundant number, since it is smaller than the sum of its proper divisors (273720).

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

168288 is a wasteful number, since it uses less digits than its factorization.

168288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1766 (or 1758 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 168288 is about 410.2292042261. The cubic root of 168288 is about 55.2099960893.

It can be divided in two parts, 16828 and 8, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 168288 in words is "one hundred sixty-eight thousand, two hundred eighty-eight".