512027120 has 80 divisors (see below), whose sum is σ = 1302238080. Its totient is φ = 185683200.

The previous prime is 512027077. The next prime is 512027123. The reversal of 512027120 is 21720215.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 512027092 and 512027101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512027123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501971 + ... + 502989.

It is an arithmetic number, because the mean of its divisors is an integer number (16277976).

Almost surely, 2^512027120 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 512027120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651119040).

512027120 is an abundant number, since it is smaller than the sum of its proper divisors (790210960).

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

512027120 is a wasteful number, since it uses less digits than its factorization.

512027120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 512027120 is about 22628.0162630311. The cubic root of 512027120 is about 800.0141247506.

Adding to 512027120 its reverse (21720215), we get a palindrome (533747335).

The spelling of 512027120 in words is "five hundred twelve million, twenty-seven thousand, one hundred twenty".