167968 has 24 divisors (see below), whose sum is σ = 343980. Its totient is φ = 80640.

The previous prime is 167953. The next prime is 167971. The reversal of 167968 is 869761.

It can be written as a sum of positive squares in 2 ways, for example, as 150544 + 17424 = 388^2 + 132^2 .

It is an Ulam number.

It is a plaindrome in base 6.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 838 + ... + 1018.

167968 is a Friedman number, since it can be written as 7+(6^8-6)/(9+1), using all its digits and the basic arithmetic operations.

2¹⁶⁷⁹⁶⁸ 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 167968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171990).

167968 is an abundant number, since it is smaller than the sum of its proper divisors (176012).

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

167968 is a wasteful number, since it uses less digits than its factorization.

167968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 212 counting only the distinct ones).

The product of its digits is 18144, while the sum is 37.

The square root of 167968 is about 409.8389927764. The cubic root of 167968 is about 55.1749799094.

The spelling of 167968 in words is "one hundred sixty-seven thousand, nine hundred sixty-eight".