167268 has 24 divisors (see below), whose sum is σ = 399168. Its totient is φ = 54496.

The previous prime is 167267. The next prime is 167269. The reversal of 167268 is 862761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (167267) and next prime (167269).

It is not an unprimeable number, because it can be changed into a prime (167261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 505 + ... + 767.

It is an arithmetic number, because the mean of its divisors is an integer number (16632).

2¹⁶⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

167268 is an abundant number, since it is smaller than the sum of its proper divisors (231900).

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

167268 is a wasteful number, since it uses less digits than its factorization.

167268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 321 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 167268 is about 408.9841072707. The cubic root of 167268 is about 55.0982266725.

It can be divided in two parts, 167 and 268, that added together give a triangular number (435 = T₂₉).

The spelling of 167268 in words is "one hundred sixty-seven thousand, two hundred sixty-eight".