512968896 has 112 divisors (see below), whose sum is σ = 1645188480. Its totient is φ = 155439360.

The previous prime is 512968889. The next prime is 512968909. The reversal of 512968896 is 698869215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515 + ... + 32501.

Almost surely, 2^512968896 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 512968896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822594240).

512968896 is an abundant number, since it is smaller than the sum of its proper divisors (1132219584).

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

512968896 is a wasteful number, since it uses less digits than its factorization.

512968896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27019 (or 27003 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 512968896 is about 22648.8166578301. The cubic root of 512968896 is about 800.5043153491.

The spelling of 512968896 in words is "five hundred twelve million, nine hundred sixty-eight thousand, eight hundred ninety-six".