506940 has 96 divisors (see below), whose sum is σ = 1741824. Its totient is φ = 107520.

The previous prime is 506929. The next prime is 506941. The reversal of 506940 is 49605.

506940 = T₁₉ + T₂₀ + ... + T₁₄₄.

It is a self number, because there is not a number n which added to its sum of digits gives 506940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506941) by changing a digit.

506940 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7105 + ... + 7175.

It is an arithmetic number, because the mean of its divisors is an integer number (18144).

2⁵⁰⁶⁹⁴⁰ 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 506940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870912).

506940 is an abundant number, since it is smaller than the sum of its proper divisors (1234884).

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

506940 is a wasteful number, since it uses less digits than its factorization.

506940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 506940 is about 711.9971910057. The cubic root of 506940 is about 79.7355853574.

The spelling of 506940 in words is "five hundred six thousand, nine hundred forty".