516360 has 64 divisors (see below), whose sum is σ = 1673280. Its totient is φ = 126720.

The previous prime is 516359. The next prime is 516361. The reversal of 516360 is 63615.

It is an interprime number because it is at equal distance from previous prime (516359) and next prime (516361).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516361) 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, 1395 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (26145).

2⁵¹⁶³⁶⁰ 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 516360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836640).

516360 is an abundant number, since it is smaller than the sum of its proper divisors (1156920).

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

516360 is a wasteful number, since it uses less digits than its factorization.

516360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 516360 is about 718.5819368729. The cubic root of 516360 is about 80.2264417801.

Adding to 516360 its reverse (63615), we get a palindrome (579975).

The spelling of 516360 in words is "five hundred sixteen thousand, three hundred sixty".