506760 has 64 divisors (see below), whose sum is σ = 1572480. Its totient is φ = 130560.

The previous prime is 506743. The next prime is 506773. The reversal of 506760 is 67605.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 506760.

It is an unprimeable number.

506760 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 4869 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (24570).

2⁵⁰⁶⁷⁶⁰ 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 506760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786240).

506760 is an abundant number, since it is smaller than the sum of its proper divisors (1065720).

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

506760 is a wasteful number, since it uses less digits than its factorization.

506760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 506760 is about 711.8707747899. The cubic root of 506760 is about 79.7261469594.

506760 divided by its sum of digits (24) gives a triangular number (21115 = T₂₀₅).

The spelling of 506760 in words is "five hundred six thousand, seven hundred sixty".