516912 has 60 divisors (see below), whose sum is σ = 1484280. Its totient is φ = 154880.

The previous prime is 516911. The next prime is 516931. The reversal of 516912 is 219615.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 14.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (516911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5764 + ... + 5852.

It is an arithmetic number, because the mean of its divisors is an integer number (24738).

2⁵¹⁶⁹¹² 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 516912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742140).

516912 is an abundant number, since it is smaller than the sum of its proper divisors (967368).

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

516912 is a wasteful number, since it uses less digits than its factorization.

516912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 105 counting only the distinct ones).

The product of its digits is 540, while the sum is 24.

The square root of 516912 is about 718.9659240882. The cubic root of 516912 is about 80.2550195325.

The spelling of 516912 in words is "five hundred sixteen thousand, nine hundred twelve".