512688960 has 448 divisors, whose sum is σ = 2121408000. Its totient is φ = 116508672.

The previous prime is 512688959. The next prime is 512688961. The reversal of 512688960 is 69886215.

It is an interprime number because it is at equal distance from previous prime (512688959) and next prime (512688961).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512688961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963434 + ... + 2963606.

Almost surely, 2^512688960 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 512688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1060704000).

512688960 is an abundant number, since it is smaller than the sum of its proper divisors (1608719040).

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

512688960 is a wasteful number, since it uses less digits than its factorization.

512688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 512688960 is about 22642.6358889596. The cubic root of 512688960 is about 800.3586725018.

The spelling of 512688960 in words is "five hundred twelve million, six hundred eighty-eight thousand, nine hundred sixty".