516340224 has 160 divisors (see below), whose sum is σ = 1567399680. Its totient is φ = 167731200.

The previous prime is 516340213. The next prime is 516340229. The reversal of 516340224 is 422043615.

516340224 is a `hidden beast` number, since 5 + 1 + 634 + 0 + 2 + 24 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (516340229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 566329 + ... + 567239.

It is an arithmetic number, because the mean of its divisors is an integer number (9796248).

Almost surely, 2^516340224 is an apocalyptic number.

516340224 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516340224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783699840).

516340224 is an abundant number, since it is smaller than the sum of its proper divisors (1051059456).

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

516340224 is an equidigital number, since it uses as much as digits as its factorization.

516340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 979 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 516340224 is about 22723.1209124099. The cubic root of 516340224 is about 802.2541757323.

Adding to 516340224 its reverse (422043615), we get a palindrome (938383839).

The spelling of 516340224 in words is "five hundred sixteen million, three hundred forty thousand, two hundred twenty-four".