8000512 has 44 divisors (see below), whose sum is σ = 17252116. Its totient is φ = 3686400.

The previous prime is 8000507. The next prime is 8000519. The reversal of 8000512 is 2150008.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3936256 + 4064256 = 1984^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8000519) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13012 + ... + 13612.

Almost surely, 2^8000512 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 8000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626058).

8000512 is an abundant number, since it is smaller than the sum of its proper divisors (9251604).

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

8000512 is a wasteful number, since it uses less digits than its factorization.

8000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 8000512 is about 2828.5176329661. The cubic root of 8000512 is about 200.0042665756.

It can be divided in two parts, 8000 and 512, that multiplied together give a cube (4096000 = 160³).

The spelling of 8000512 in words is "eight million, five hundred twelve", and thus it is an aban number.