173940 has 48 divisors (see below), whose sum is σ = 526848. Its totient is φ = 42624.

The previous prime is 173933. The next prime is 173969. The reversal of 173940 is 49371.

It is a self number, because there is not a number n which added to its sum of digits gives 173940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669 + ... + 891.

It is an arithmetic number, because the mean of its divisors is an integer number (10976).

2¹⁷³⁹⁴⁰ is an apocalyptic number.

173940 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 173940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263424).

173940 is an abundant number, since it is smaller than the sum of its proper divisors (352908).

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

173940 is a wasteful number, since it uses less digits than its factorization.

173940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 173940 is about 417.0611465960. The cubic root of 173940 is about 55.8212840017.

The spelling of 173940 in words is "one hundred seventy-three thousand, nine hundred forty".