167608 has 32 divisors (see below), whose sum is σ = 372960. Its totient is φ = 69120.

The previous prime is 167597. The next prime is 167611. The reversal of 167608 is 806761.

167608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a plaindrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2260 + ... + 2332.

It is an arithmetic number, because the mean of its divisors is an integer number (11655).

2¹⁶⁷⁶⁰⁸ 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 167608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186480).

167608 is an abundant number, since it is smaller than the sum of its proper divisors (205352).

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

167608 is a wasteful number, since it uses less digits than its factorization.

167608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 167608 is about 409.3995603320. The cubic root of 167608 is about 55.1355335064.

The spelling of 167608 in words is "one hundred sixty-seven thousand, six hundred eight".