173668320 has 192 divisors, whose sum is σ = 694794240. Its totient is φ = 39688704.

The previous prime is 173668289. The next prime is 173668361. The reversal of 173668320 is 23866371.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27369 + ... + 33111.

It is an arithmetic number, because the mean of its divisors is an integer number (3618720).

Almost surely, 2^173668320 is an apocalyptic number.

173668320 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 173668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347397120).

173668320 is an abundant number, since it is smaller than the sum of its proper divisors (521125920).

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

173668320 is a wasteful number, since it uses less digits than its factorization.

173668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5774 (or 5760 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 173668320 is about 13178.3276632508. The cubic root of 173668320 is about 557.9220610302.

The spelling of 173668320 in words is "one hundred seventy-three million, six hundred sixty-eight thousand, three hundred twenty".