506124 has 36 divisors (see below), whose sum is σ = 1356264. Its totient is φ = 158592.

The previous prime is 506119. The next prime is 506131. The reversal of 506124 is 421605.

It is a happy number.

506124 is a `hidden beast` number, since 50 + 612 + 4 = 666.

506124 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 506097 and 506106.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (37674).

2⁵⁰⁶¹²⁴ 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 506124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678132).

506124 is an abundant number, since it is smaller than the sum of its proper divisors (850140).

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

506124 is a wasteful number, since it uses less digits than its factorization.

506124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 506124 is about 711.4239242533. The cubic root of 506124 is about 79.6927800423.

Adding to 506124 its reverse (421605), we get a palindrome (927729).

It can be divided in two parts, 506 and 124, that added together give a triangular number (630 = T₃₅).

The spelling of 506124 in words is "five hundred six thousand, one hundred twenty-four".