516106724 has 48 divisors (see below), whose sum is σ = 1068318720. Its totient is φ = 213490080.

The previous prime is 516106711. The next prime is 516106727. The reversal of 516106724 is 427601615.

It is not an unprimeable number, because it can be changed into a prime (516106727) 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, 561137 + ... + 562055.

It is an arithmetic number, because the mean of its divisors is an integer number (22256640).

Almost surely, 2^516106724 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 516106724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534159360).

516106724 is an abundant number, since it is smaller than the sum of its proper divisors (552211996).

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

516106724 is a wasteful number, since it uses less digits than its factorization.

516106724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 516106724 is about 22717.9823928094. The cubic root of 516106724 is about 802.1332253808.

The spelling of 516106724 in words is "five hundred sixteen million, one hundred six thousand, seven hundred twenty-four".