506968 has 32 divisors (see below), whose sum is σ = 1186560. Its totient is φ = 197280.

The previous prime is 506963. The next prime is 506983. The reversal of 506968 is 869605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506963) by changing a digit.

506968 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 7 ways as a sum of consecutive naturals, for example, 205 + ... + 1027.

It is an arithmetic number, because the mean of its divisors is an integer number (37080).

2⁵⁰⁶⁹⁶⁸ 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 506968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593280).

506968 is an abundant number, since it is smaller than the sum of its proper divisors (679592).

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

506968 is a wasteful number, since it uses less digits than its factorization.

506968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 506968 is about 712.0168537331. The cubic root of 506968 is about 79.7370533518.

The spelling of 506968 in words is "five hundred six thousand, nine hundred sixty-eight".