173968 has 20 divisors (see below), whose sum is σ = 343728. Its totient is φ = 85280.

The previous prime is 173933. The next prime is 173969. The reversal of 173968 is 869371.

Its product of digits (9072) is a multiple of the sum of its prime divisors (216).

It is not an unprimeable number, because it can be changed into a prime (173969) 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, 1263 + ... + 1393.

2¹⁷³⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

173968 is a deficient number, since it is larger than the sum of its proper divisors (169760).

173968 is a wasteful number, since it uses less digits than its factorization.

173968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 173968 is about 417.0947134645. The cubic root of 173968 is about 55.8242791189.

The spelling of 173968 in words is "one hundred seventy-three thousand, nine hundred sixty-eight".