516323632 has 80 divisors (see below), whose sum is σ = 1168675200. Its totient is φ = 218488320.

The previous prime is 516323617. The next prime is 516323659. The reversal of 516323632 is 236323615.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 516323594 and 516323603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195988 + ... + 198604.

It is an arithmetic number, because the mean of its divisors is an integer number (14608440).

Almost surely, 2^516323632 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 516323632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584337600).

516323632 is an abundant number, since it is smaller than the sum of its proper divisors (652351568).

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

516323632 is a wasteful number, since it uses less digits than its factorization.

516323632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2708 counting only the distinct ones).

The product of its digits is 19440, while the sum is 31.

The square root of 516323632 is about 22722.7558187822. The cubic root of 516323632 is about 802.2455824681.

The spelling of 516323632 in words is "five hundred sixteen million, three hundred twenty-three thousand, six hundred thirty-two".