516840 has 64 divisors (see below), whose sum is σ = 1598400. Its totient is φ = 133632.

The previous prime is 516839. The next prime is 516847. The reversal of 516840 is 48615.

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

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 516840.

It is not an unprimeable number, because it can be changed into a prime (516847) 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 15 ways as a sum of consecutive naturals, for example, 7044 + ... + 7116.

It is an arithmetic number, because the mean of its divisors is an integer number (24975).

2⁵¹⁶⁸⁴⁰ 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 516840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799200).

516840 is an abundant number, since it is smaller than the sum of its proper divisors (1081560).

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

516840 is a wasteful number, since it uses less digits than its factorization.

516840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 516840 is about 718.9158504304. The cubic root of 516840 is about 80.2512931537.

The spelling of 516840 in words is "five hundred sixteen thousand, eight hundred forty".