168264 has 64 divisors (see below), whose sum is σ = 504000. Its totient is φ = 51840.

The previous prime is 168263. The next prime is 168269. The reversal of 168264 is 462861.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4084 + ... + 4124.

It is an arithmetic number, because the mean of its divisors is an integer number (7875).

168264 is a Friedman number, since it can be written as 41*(8+(6-2)^6), using all its digits and the basic arithmetic operations.

2¹⁶⁸²⁶⁴ 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 168264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252000).

168264 is an abundant number, since it is smaller than the sum of its proper divisors (335736).

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

168264 is a wasteful number, since it uses less digits than its factorization.

168264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 65 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 168264 is about 410.1999512433. The cubic root of 168264 is about 55.2073714163.

It can be divided in two parts, 1 and 68264, that added together give a triangular number (68265 = T₃₆₉).

The spelling of 168264 in words is "one hundred sixty-eight thousand, two hundred sixty-four".