516240 has 80 divisors (see below), whose sum is σ = 1785600. Its totient is φ = 137088.

The previous prime is 516233. The next prime is 516247. The reversal of 516240 is 42615.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (516233) and next prime (516247).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (516247) 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, 2041 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (22320).

2⁵¹⁶²⁴⁰ 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 516240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892800).

516240 is an abundant number, since it is smaller than the sum of its proper divisors (1269360).

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

516240 is a wasteful number, since it uses less digits than its factorization.

516240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 516240 is about 718.4984342363. The cubic root of 516240 is about 80.2202265305.

516240 divided by its sum of digits (18) gives a triangular number (28680 = T₂₃₉).

Adding to 516240 its reverse (42615), we get a palindrome (558855).

The spelling of 516240 in words is "five hundred sixteen thousand, two hundred forty".