517920 has 96 divisors (see below), whose sum is σ = 1778112. Its totient is φ = 125952.

The previous prime is 517919. The next prime is 517927. The reversal of 517920 is 29715.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×517920² = 536482252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 517920.

It is not an unprimeable number, because it can be changed into a prime (517927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6199 + ... + 6281.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2⁵¹⁷⁹²⁰ 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 517920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889056).

517920 is an abundant number, since it is smaller than the sum of its proper divisors (1260192).

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

517920 is a wasteful number, since it uses less digits than its factorization.

517920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 517920 is about 719.6665894704. Note that the first 3 decimals coincide. The cubic root of 517920 is about 80.3071525405.

The spelling of 517920 in words is "five hundred seventeen thousand, nine hundred twenty".