167008 has 24 divisors (see below), whose sum is σ = 349272. Its totient is φ = 78336.

The previous prime is 166987. The next prime is 167009. The reversal of 167008 is 800761.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 167008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (167009) 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, 391 + ... + 697.

It is an arithmetic number, because the mean of its divisors is an integer number (14553).

2¹⁶⁷⁰⁰⁸ 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 167008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174636).

167008 is an abundant number, since it is smaller than the sum of its proper divisors (182264).

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

167008 is a wasteful number, since it uses less digits than its factorization.

167008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 167008 is about 408.6661228925. Note that the first 3 decimals coincide. The cubic root of 167008 is about 55.0696637917.

Adding to 167008 its reverse (800761), we get a palindrome (967769).

The spelling of 167008 in words is "one hundred sixty-seven thousand, eight".