516978 has 48 divisors (see below), whose sum is σ = 1400256. Its totient is φ = 133920.

The previous prime is 516977. The next prime is 516979. The reversal of 516978 is 879615.

516978 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (516977) and next prime (516979).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516978.

It is not an unprimeable number, because it can be changed into a prime (516973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1200 + ... + 1572.

It is an arithmetic number, because the mean of its divisors is an integer number (29172).

2⁵¹⁶⁹⁷⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700128).

516978 is an abundant number, since it is smaller than the sum of its proper divisors (883278).

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

516978 is a wasteful number, since it uses less digits than its factorization.

516978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 396 counting only the distinct ones).

The product of its digits is 15120, while the sum is 36.

The square root of 516978 is about 719.0118218778. The cubic root of 516978 is about 80.2584350757.

The spelling of 516978 in words is "five hundred sixteen thousand, nine hundred seventy-eight".