516120 has 128 divisors (see below), whose sum is σ = 1866240. Its totient is φ = 112640.

The previous prime is 516091. The next prime is 516127. The reversal of 516120 is 21615.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 516120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516127) by changing a digit.

516120 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 31 ways as a sum of consecutive naturals, for example, 22429 + ... + 22451.

It is an arithmetic number, because the mean of its divisors is an integer number (14580).

2⁵¹⁶¹²⁰ 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 516120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (933120).

516120 is an abundant number, since it is smaller than the sum of its proper divisors (1350120).

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

516120 is a wasteful number, since it uses less digits than its factorization.

516120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 516120 is about 718.4149218940. The cubic root of 516120 is about 80.2140103176.

Adding to 516120 its reverse (21615), we get a palindrome (537735).

It can be divided in two parts, 516 and 120, that added together give a palindrome (636).

The spelling of 516120 in words is "five hundred sixteen thousand, one hundred twenty".