516611160 has 192 divisors, whose sum is σ = 1821718080. Its totient is φ = 126213120.

The previous prime is 516611149. The next prime is 516611189. The reversal of 516611160 is 61116615.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 781230 + ... + 781890.

It is an arithmetic number, because the mean of its divisors is an integer number (9488115).

Almost surely, 2^516611160 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 516611160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910859040).

516611160 is an abundant number, since it is smaller than the sum of its proper divisors (1305106920).

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

516611160 is a wasteful number, since it uses less digits than its factorization.

516611160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 516611160 is about 22729.0818116351. The cubic root of 516611160 is about 802.3944718139.

Adding to 516611160 its reverse (61116615), we get a palindrome (577727775).

The spelling of 516611160 in words is "five hundred sixteen million, six hundred eleven thousand, one hundred sixty".