6512768 has 64 divisors (see below), whose sum is σ = 14265720. Its totient is φ = 2949120.

The previous prime is 6512767. The next prime is 6512771. The reversal of 6512768 is 8672156.

It can be written as a sum of positive squares in 4 ways, for example, as 5053504 + 1459264 = 2248^2 + 1208^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×6512768² = 84832294043648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6512767) 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 7 ways as a sum of consecutive naturals, for example, 89180 + ... + 89252.

Almost surely, 2^6512768 is an apocalyptic number.

6512768 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6512768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7132860).

6512768 is an abundant number, since it is smaller than the sum of its proper divisors (7752952).

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

6512768 is a wasteful number, since it uses less digits than its factorization.

6512768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 133 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 6512768 is about 2552.0125391541. The cubic root of 6512768 is about 186.7476745904.

The spelling of 6512768 in words is "six million, five hundred twelve thousand, seven hundred sixty-eight".