512059968 has 280 divisors, whose sum is σ = 1764377472. Its totient is φ = 143824896.

The previous prime is 512059967. The next prime is 512059973. The reversal of 512059968 is 869950215.

512059968 is a `hidden beast` number, since 51 + 2 + 0 + 599 + 6 + 8 = 666.

It is a super-2 number, since 2×512059968² = 524410821656322048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (512059963) 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, 3737596 + ... + 3737732.

Almost surely, 2^512059968 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 512059968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (882188736).

512059968 is an abundant number, since it is smaller than the sum of its proper divisors (1252317504).

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

512059968 is a wasteful number, since it uses less digits than its factorization.

512059968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 512059968 is about 22628.7420772786. The cubic root of 512059968 is about 800.0312321140.

The spelling of 512059968 in words is "five hundred twelve million, fifty-nine thousand, nine hundred sixty-eight".