516348 has 48 divisors (see below), whose sum is σ = 1532160. Its totient is φ = 147312.

The previous prime is 516323. The next prime is 516349. The reversal of 516348 is 843615.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 516348.

It is not an unprimeable number, because it can be changed into a prime (516349) 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, 415 + ... + 1097.

It is an arithmetic number, because the mean of its divisors is an integer number (31920).

2⁵¹⁶³⁴⁸ 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 516348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080).

516348 is an abundant number, since it is smaller than the sum of its proper divisors (1015812).

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

516348 is a wasteful number, since it uses less digits than its factorization.

516348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 516348 is about 718.5735870459. The cubic root of 516348 is about 80.2258202985.

The spelling of 516348 in words is "five hundred sixteen thousand, three hundred forty-eight".