173968320 has 112 divisors (see below), whose sum is σ = 576437760. Its totient is φ = 44368896.

The previous prime is 173968309. The next prime is 173968337. The reversal of 173968320 is 23869371.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18141 + ... + 26019.

Almost surely, 2^173968320 is an apocalyptic number.

173968320 is a gapful number since it is divisible by the number (10) 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 173968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288218880).

173968320 is an abundant number, since it is smaller than the sum of its proper divisors (402469440).

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

173968320 is a wasteful number, since it uses less digits than its factorization.

173968320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7922 (or 7912 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 173968320 is about 13189.7050763086. The cubic root of 173968320 is about 558.2431334697.

The spelling of 173968320 in words is "one hundred seventy-three million, nine hundred sixty-eight thousand, three hundred twenty".