516168640 has 112 divisors (see below), whose sum is σ = 1335462912. Its totient is φ = 188891136.

The previous prime is 516168629. The next prime is 516168647. The reversal of 516168640 is 46861615.

It is a self number, because there is not a number n which added to its sum of digits gives 516168640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516168647) 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, 527832 + ... + 528808.

It is an arithmetic number, because the mean of its divisors is an integer number (11923776).

Almost surely, 2^516168640 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 516168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667731456).

516168640 is an abundant number, since it is smaller than the sum of its proper divisors (819294272).

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

516168640 is a wasteful number, since it uses less digits than its factorization.

516168640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1124 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 516168640 is about 22719.3450609827. The cubic root of 516168640 is about 802.1653007201.

The spelling of 516168640 in words is "five hundred sixteen million, one hundred sixty-eight thousand, six hundred forty".