515696160 has 192 divisors, whose sum is σ = 1916780544. Its totient is φ = 114048000.

The previous prime is 515696143. The next prime is 515696161. The reversal of 515696160 is 61696515.

It is not an unprimeable number, because it can be changed into a prime (515696161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101685 + ... + 106635.

It is an arithmetic number, because the mean of its divisors is an integer number (9983232).

Almost surely, 2^515696160 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 515696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958390272).

515696160 is an abundant number, since it is smaller than the sum of its proper divisors (1401084384).

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

515696160 is a wasteful number, since it uses less digits than its factorization.

515696160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5007 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 515696160 is about 22708.9444933048. The cubic root of 515696160 is about 801.9204693909.

The spelling of 515696160 in words is "five hundred fifteen million, six hundred ninety-six thousand, one hundred sixty".