173696 has 32 divisors (see below), whose sum is σ = 367200. Its totient is φ = 81664.

The previous prime is 173687. The next prime is 173699. The reversal of 173696 is 696371.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (6804) is a multiple of the sum of its prime divisors (84).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 173696.

It is not an unprimeable number, because it can be changed into a prime (173699) by changing a digit.

173696 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2915 + ... + 2973.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2¹⁷³⁶⁹⁶ is an apocalyptic number.

173696 is a gapful number since it is divisible by the number (16) 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 173696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183600).

173696 is an abundant number, since it is smaller than the sum of its proper divisors (193504).

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

173696 is an equidigital number, since it uses as much as digits as its factorization.

173696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its digits is 6804, while the sum is 32.

The square root of 173696 is about 416.7685208842. The cubic root of 173696 is about 55.7951700791.

The spelling of 173696 in words is "one hundred seventy-three thousand, six hundred ninety-six".