516000 has 96 divisors (see below), whose sum is σ = 1729728. Its totient is φ = 134400.

The previous prime is 515993. The next prime is 516017. The reversal of 516000 is 615.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11979 + ... + 12021.

It is an arithmetic number, because the mean of its divisors is an integer number (18018).

2⁵¹⁶⁰⁰⁰ is an apocalyptic number.

516000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864864).

516000 is an abundant number, since it is smaller than the sum of its proper divisors (1213728).

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

516000 is a wasteful number, since it uses less digits than its factorization.

516000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 516000 is about 718.3313998427. The cubic root of 516000 is about 80.2077931412.

Adding to 516000 its reverse (615), we get a palindrome (516615).

The spelling of 516000 in words is "five hundred sixteen thousand".