516728160 has 240 divisors, whose sum is σ = 1964538576. Its totient is φ = 127153152.

The previous prime is 516728159. The next prime is 516728167. The reversal of 516728160 is 61827615.

516728160 is a `hidden beast` number, since 516 + 7 + 2 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516728167) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 166947 + ... + 170013.

Almost surely, 2^516728160 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 516728160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982269288).

516728160 is an abundant number, since it is smaller than the sum of its proper divisors (1447810416).

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

516728160 is a wasteful number, since it uses less digits than its factorization.

516728160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 516728160 is about 22731.6554610525. The cubic root of 516728160 is about 802.4550415900.

The spelling of 516728160 in words is "five hundred sixteen million, seven hundred twenty-eight thousand, one hundred sixty".