505968 has 40 divisors (see below), whose sum is σ = 1333248. Its totient is φ = 165312.

The previous prime is 505961. The next prime is 505969. The reversal of 505968 is 869505.

505968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3921 + ... + 4047.

2⁵⁰⁵⁹⁶⁸ 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 505968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666624).

505968 is an abundant number, since it is smaller than the sum of its proper divisors (827280).

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

505968 is a wasteful number, since it uses less digits than its factorization.

505968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 505968 is about 711.3142765332. The cubic root of 505968 is about 79.6845914356.

The spelling of 505968 in words is "five hundred five thousand, nine hundred sixty-eight".