516060160 has 396 divisors, whose sum is σ = 1675977156. Its totient is φ = 151388160.

The previous prime is 516060089. The next prime is 516060169. The reversal of 516060160 is 61060615.

It can be written as a sum of positive squares in 2 ways, for example, as 297493504 + 218566656 = 17248^2 + 14784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516060169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 30356472 + ... + 30356488.

Almost surely, 2^516060160 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 516060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837988578).

516060160 is an abundant number, since it is smaller than the sum of its proper divisors (1159916996).

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

516060160 is a wasteful number, since it uses less digits than its factorization.

516060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 516060160 is about 22716.9575427697. The cubic root of 516060160 is about 802.1091013944.

The spelling of 516060160 in words is "five hundred sixteen million, sixty thousand, one hundred sixty".