517960 has 32 divisors (see below), whose sum is σ = 1218240. Its totient is φ = 197824.

The previous prime is 517949. The next prime is 517967. The reversal of 517960 is 69715.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517967) by changing a digit.

517960 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, 639 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (38070).

2⁵¹⁷⁹⁶⁰ 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 517960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609120).

517960 is an abundant number, since it is smaller than the sum of its proper divisors (700280).

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

517960 is a wasteful number, since it uses less digits than its factorization.

517960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 517960 is about 719.6943795807. The cubic root of 517960 is about 80.3092199148.

The spelling of 517960 in words is "five hundred seventeen thousand, nine hundred sixty".