507906 has 48 divisors (see below), whose sum is σ = 1310400. Its totient is φ = 139104.

The previous prime is 507901. The next prime is 507907. The reversal of 507906 is 609705.

507906 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 507906.

It is not an unprimeable number, because it can be changed into a prime (507901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3585 + ... + 3723.

It is an arithmetic number, because the mean of its divisors is an integer number (27300).

2⁵⁰⁷⁹⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655200).

507906 is an abundant number, since it is smaller than the sum of its proper divisors (802494).

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

507906 is a wasteful number, since it uses less digits than its factorization.

507906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 507906 is about 712.6752416073. The cubic root of 507906 is about 79.7861999616.

Adding to 507906 its product of nonzero digits (1890), we get a square (509796 = 714²).

The spelling of 507906 in words is "five hundred seven thousand, nine hundred six".