6456512 has 28 divisors (see below), whose sum is σ = 12984480. Its totient is φ = 3184896.

The previous prime is 6456511. The next prime is 6456521. The reversal of 6456512 is 2156546.

It is a super-2 number, since 2×6456512² = 83373094412288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6456511) 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, 4418 + ... + 5694.

Almost surely, 2^6456512 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 6456512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6492240).

6456512 is an abundant number, since it is smaller than the sum of its proper divisors (6527968).

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

6456512 is a wasteful number, since it uses less digits than its factorization.

6456512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1358 counting only the distinct ones).

The product of its digits is 7200, while the sum is 29.

The square root of 6456512 is about 2540.9667451582. The cubic root of 6456512 is about 186.2084224715.

The spelling of 6456512 in words is "six million, four hundred fifty-six thousand, five hundred twelve".