173105664 has 80 divisors (see below), whose sum is σ = 464032800. Its totient is φ = 57344000.

The previous prime is 173105663. The next prime is 173105671. The reversal of 173105664 is 466501371.

It is not an unprimeable number, because it can be changed into a prime (173105663) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385312 + ... + 385760.

It is an arithmetic number, because the mean of its divisors is an integer number (5800410).

Almost surely, 2^173105664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 173105664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232016400).

173105664 is an abundant number, since it is smaller than the sum of its proper divisors (290927136).

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

173105664 is an equidigital number, since it uses as much as digits as its factorization.

173105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 173105664 is about 13156.9625674013. The cubic root of 173105664 is about 557.3188847751.

The spelling of 173105664 in words is "one hundred seventy-three million, one hundred five thousand, six hundred sixty-four".