6511456 has 48 divisors (see below), whose sum is σ = 15029280. Its totient is φ = 2718720.

The previous prime is 6511411. The next prime is 6511469. The reversal of 6511456 is 6541156.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 7 ways as a sum of consecutive naturals, for example, 8830 + ... + 9538.

It is an arithmetic number, because the mean of its divisors is an integer number (313110).

Almost surely, 2^6511456 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 6511456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514640).

6511456 is an abundant number, since it is smaller than the sum of its proper divisors (8517824).

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

6511456 is a wasteful number, since it uses less digits than its factorization.

6511456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 759 counting only the distinct ones).

The product of its digits is 3600, while the sum is 28.

The square root of 6511456 is about 2551.7554741785. The cubic root of 6511456 is about 186.7351336143.

The spelling of 6511456 in words is "six million, five hundred eleven thousand, four hundred fifty-six".