173808 has 60 divisors (see below), whose sum is σ = 522288. Its totient is φ = 53760.

The previous prime is 173807. The next prime is 173819. The reversal of 173808 is 808371.

173808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (173807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2413 + ... + 2483.

2¹⁷³⁸⁰⁸ is an apocalyptic number.

173808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261144).

173808 is an abundant number, since it is smaller than the sum of its proper divisors (348480).

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

173808 is a wasteful number, since it uses less digits than its factorization.

173808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 173808 is about 416.9028663850. The cubic root of 173808 is about 55.8071598320.

The spelling of 173808 in words is "one hundred seventy-three thousand, eight hundred eight".