512887680 has 256 divisors, whose sum is σ = 1847750400. Its totient is φ = 134424576.

The previous prime is 512887679. The next prime is 512887693. The reversal of 512887680 is 86788215.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1157539 + ... + 1157981.

It is an arithmetic number, because the mean of its divisors is an integer number (7217775).

Almost surely, 2^512887680 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 512887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923875200).

512887680 is an abundant number, since it is smaller than the sum of its proper divisors (1334862720).

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

512887680 is a wasteful number, since it uses less digits than its factorization.

512887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 512887680 is about 22647.0236455036. The cubic root of 512887680 is about 800.4620664003.

The spelling of 512887680 in words is "five hundred twelve million, eight hundred eighty-seven thousand, six hundred eighty".