517680 has 60 divisors (see below), whose sum is σ = 1740960. Its totient is φ = 137856.

The previous prime is 517639. The next prime is 517711. The reversal of 517680 is 86715.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

517680 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 11 ways as a sum of consecutive naturals, for example, 361 + ... + 1079.

It is an arithmetic number, because the mean of its divisors is an integer number (29016).

2⁵¹⁷⁶⁸⁰ is an apocalyptic number.

It is a pronic number, being equal to 719×720.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870480).

517680 is an abundant number, since it is smaller than the sum of its proper divisors (1223280).

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

517680 is a wasteful number, since it uses less digits than its factorization.

517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 517680 is about 719.4998262682. The cubic root of 517680 is about 80.2947460592.

Subtracting from 517680 its sum of digits (27), we obtain a triangular number (517653 = T₁₀₁₇).

The spelling of 517680 in words is "five hundred seventeen thousand, six hundred eighty".