173320 has 32 divisors (see below), whose sum is σ = 446400. Its totient is φ = 59328.

The previous prime is 173309. The next prime is 173347. The reversal of 173320 is 23371.

173320 = T₄₉ + T₅₀ + ... + T₁₀₄.

It is a junction number, because it is equal to n+sod(n) for n = 173294 and 173303.

It is an unprimeable number.

173320 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 7 ways as a sum of consecutive naturals, for example, 30 + ... + 589.

It is an arithmetic number, because the mean of its divisors is an integer number (13950).

2¹⁷³³²⁰ is an apocalyptic number.

173320 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 173320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223200).

173320 is an abundant number, since it is smaller than the sum of its proper divisors (273080).

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

173320 is a wasteful number, since it uses less digits than its factorization.

173320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 16.

The square root of 173320 is about 416.3171867699. The cubic root of 173320 is about 55.7548810301.

Adding to 173320 its reverse (23371), we get a palindrome (196691).

The spelling of 173320 in words is "one hundred seventy-three thousand, three hundred twenty", and thus it is an iban number.