516880 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 161280.

The previous prime is 516877. The next prime is 516883. The reversal of 516880 is 88615.

It is a happy number.

516880 is nontrivially palindromic in base 15.

It is an interprime number because it is at equal distance from previous prime (516877) and next prime (516883).

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 (28).

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (516883) 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, 7245 + ... + 7315.

2⁵¹⁶⁸⁸⁰ is an apocalyptic number.

516880 is the 455-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

516880 is an abundant number, since it is smaller than the sum of its proper divisors (983024).

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

516880 is a wasteful number, since it uses less digits than its factorization.

516880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 516880 is about 718.9436695597. The cubic root of 516880 is about 80.2533634069.

The spelling of 516880 in words is "five hundred sixteen thousand, eight hundred eighty".