516040 has 64 divisors (see below), whose sum is σ = 1411200. Its totient is φ = 165888.

The previous prime is 516023. The next prime is 516049. The reversal of 516040 is 40615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516049) by changing a digit.

516040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5272 + ... + 5368.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2⁵¹⁶⁰⁴⁰ 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 516040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705600).

516040 is an abundant number, since it is smaller than the sum of its proper divisors (895160).

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

516040 is a wasteful number, since it uses less digits than its factorization.

516040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 516040 is about 718.3592416055. The cubic root of 516040 is about 80.2098656404.

Adding to 516040 its reverse (40615), we get a palindrome (556655).

It can be divided in two parts, 5 and 16040, that multiplied together give a triangular number (80200 = T₄₀₀).

The spelling of 516040 in words is "five hundred sixteen thousand, forty".