516336 has 40 divisors (see below), whose sum is σ = 1380864. Its totient is φ = 166080.

The previous prime is 516323. The next prime is 516349. The reversal of 516336 is 633615.

It is an interprime number because it is at equal distance from previous prime (516323) and next prime (516349).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1315 + ... + 1661.

2⁵¹⁶³³⁶ 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 516336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690432).

516336 is an abundant number, since it is smaller than the sum of its proper divisors (864528).

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

516336 is a wasteful number, since it uses less digits than its factorization.

516336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 383 counting only the distinct ones).

The product of its digits is 1620, while the sum is 24.

The square root of 516336 is about 718.5652371219. The cubic root of 516336 is about 80.2251988072.

The spelling of 516336 in words is "five hundred sixteen thousand, three hundred thirty-six".