6514656 has 48 divisors (see below), whose sum is σ = 17337600. Its totient is φ = 2141568.

The previous prime is 6514649. The next prime is 6514657. The reversal of 6514656 is 6564156.

6514656 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6514657) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7155 + ... + 8013.

It is an arithmetic number, because the mean of its divisors is an integer number (361200).

Almost surely, 2^6514656 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 6514656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8668800).

6514656 is an abundant number, since it is smaller than the sum of its proper divisors (10822944).

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

6514656 is a wasteful number, since it uses less digits than its factorization.

6514656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 943 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 6514656 is about 2552.3824164886. The cubic root of 6514656 is about 186.7657184055.

The spelling of 6514656 in words is "six million, five hundred fourteen thousand, six hundred fifty-six".