173873920 has 144 divisors (see below), whose sum is σ = 464903712. Its totient is φ = 61767680.

The previous prime is 173873873. The next prime is 173873927. The reversal of 173873920 is 29378371.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (173873927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746124 + ... + 746356.

It is an arithmetic number, because the mean of its divisors is an integer number (3228498).

Almost surely, 2^173873920 is an apocalyptic number.

173873920 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 173873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232451856).

173873920 is an abundant number, since it is smaller than the sum of its proper divisors (291029792).

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

173873920 is a wasteful number, since it uses less digits than its factorization.

173873920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 40.

The square root of 173873920 is about 13186.1260421702. The cubic root of 173873920 is about 558.1421425029.

The spelling of 173873920 in words is "one hundred seventy-three million, eight hundred seventy-three thousand, nine hundred twenty".