516832 has 24 divisors (see below), whose sum is σ = 1052352. Its totient is φ = 249600.

The previous prime is 516829. The next prime is 516839. The reversal of 516832 is 238615.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 516797 and 516806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516839) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 732 + ... + 1252.

It is an arithmetic number, because the mean of its divisors is an integer number (43848).

2⁵¹⁶⁸³² 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 516832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526176).

516832 is an abundant number, since it is smaller than the sum of its proper divisors (535520).

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

516832 is a wasteful number, since it uses less digits than its factorization.

516832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 554 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 516832 is about 718.9102864753. The cubic root of 516832 is about 80.2508790903.

The spelling of 516832 in words is "five hundred sixteen thousand, eight hundred thirty-two".