506540 has 48 divisors (see below), whose sum is σ = 1182720. Its totient is φ = 181440.

The previous prime is 506537. The next prime is 506551. The reversal of 506540 is 45605.

506540 = T₂₁ + T₂₂ + ... + T₁₄₄.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506540.

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, 11759 + ... + 11801.

It is an arithmetic number, because the mean of its divisors is an integer number (24640).

2⁵⁰⁶⁵⁴⁰ 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 506540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591360).

506540 is an abundant number, since it is smaller than the sum of its proper divisors (676180).

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

506540 is a wasteful number, since it uses less digits than its factorization.

506540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 506540 is about 711.7162355883. The cubic root of 506540 is about 79.7146081040.

The spelling of 506540 in words is "five hundred six thousand, five hundred forty".