517720 has 48 divisors (see below), whose sum is σ = 1362960. Its totient is φ = 173376.

The previous prime is 517717. The next prime is 517721. The reversal of 517720 is 27715.

It is a junction number, because it is equal to n+sod(n) for n = 517691 and 517700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517721) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 12019 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (28395).

2⁵¹⁷⁷²⁰ 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 517720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681480).

517720 is an abundant number, since it is smaller than the sum of its proper divisors (845240).

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

517720 is a wasteful number, since it uses less digits than its factorization.

517720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 517720 is about 719.5276228193. The cubic root of 517720 is about 80.2968140723.

The spelling of 517720 in words is "five hundred seventeen thousand, seven hundred twenty".