173904640 has 144 divisors (see below), whose sum is σ = 513027648. Its totient is φ = 55001088.

The previous prime is 173904623. The next prime is 173904641. The reversal of 173904640 is 46409371.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 173904596 and 173904605.

It is not an unprimeable number, because it can be changed into a prime (173904641) 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, 115734 + ... + 117226.

It is an arithmetic number, because the mean of its divisors is an integer number (3562692).

Almost surely, 2^173904640 is an apocalyptic number.

173904640 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 173904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256513824).

173904640 is an abundant number, since it is smaller than the sum of its proper divisors (339123008).

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

173904640 is a wasteful number, since it uses less digits than its factorization.

173904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1534 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 173904640 is about 13187.2908514221. The cubic root of 173904640 is about 558.1750113712.

The spelling of 173904640 in words is "one hundred seventy-three million, nine hundred four thousand, six hundred forty".