516871680 has 320 divisors, whose sum is σ = 1847881728. Its totient is φ = 122388480.

The previous prime is 516871673. The next prime is 516871699. The reversal of 516871680 is 86178615.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3094957 + ... + 3095123.

Almost surely, 2^516871680 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 516871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923940864).

516871680 is an abundant number, since it is smaller than the sum of its proper divisors (1331010048).

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

516871680 is a wasteful number, since it uses less digits than its factorization.

516871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 516871680 is about 22734.8120731182. The cubic root of 516871680 is about 802.5293280302.

The spelling of 516871680 in words is "five hundred sixteen million, eight hundred seventy-one thousand, six hundred eighty".