516032160 has 192 divisors, whose sum is σ = 1876089600. Its totient is φ = 116785152.

The previous prime is 516032141. The next prime is 516032197. The reversal of 516032160 is 61230615.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 516032160.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 365536 + ... + 366944.

It is an arithmetic number, because the mean of its divisors is an integer number (9771300).

Almost surely, 2^516032160 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 516032160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938044800).

516032160 is an abundant number, since it is smaller than the sum of its proper divisors (1360057440).

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

516032160 is a wasteful number, since it uses less digits than its factorization.

516032160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1543 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 516032160 is about 22716.3412547003. The cubic root of 516032160 is about 802.0945943900.

Adding to 516032160 its reverse (61230615), we get a palindrome (577262775).

The spelling of 516032160 in words is "five hundred sixteen million, thirty-two thousand, one hundred sixty".