506880 has 132 divisors (see below), whose sum is σ = 1915992. Its totient is φ = 122880.

The previous prime is 506873. The next prime is 506887. The reversal of 506880 is 88605.

It is an interprime number because it is at equal distance from previous prime (506873) and next prime (506887).

It is a tau number, because it is divible by the number of its divisors (132).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506887) by changing a digit.

506880 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 11 ways as a sum of consecutive naturals, for example, 46075 + ... + 46085.

2⁵⁰⁶⁸⁸⁰ 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 506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957996).

506880 is an abundant number, since it is smaller than the sum of its proper divisors (1409112).

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

506880 is a wasteful number, since it uses less digits than its factorization.

506880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 506880 is about 711.9550547612. The cubic root of 506880 is about 79.7324394730.

The spelling of 506880 in words is "five hundred six thousand, eight hundred eighty".