506970 has 48 divisors (see below), whose sum is σ = 1359072. Its totient is φ = 131040.

The previous prime is 506963. The next prime is 506983. The reversal of 506970 is 79605.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506970.

It is an unprimeable number.

506970 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 23 ways as a sum of consecutive naturals, for example, 3805 + ... + 3935.

It is an arithmetic number, because the mean of its divisors is an integer number (28314).

2⁵⁰⁶⁹⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679536).

506970 is an abundant number, since it is smaller than the sum of its proper divisors (852102).

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

506970 is a wasteful number, since it uses less digits than its factorization.

506970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 184 counting only the distinct ones).

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

The square root of 506970 is about 712.0182581929. The cubic root of 506970 is about 79.7371582065.

The spelling of 506970 in words is "five hundred six thousand, nine hundred seventy".