6456656 has 40 divisors (see below), whose sum is σ = 13406880. Its totient is φ = 3003264.

The previous prime is 6456641. The next prime is 6456661. The reversal of 6456656 is 6566546.

It is a Harshad number since it is a multiple of its sum of digits (38).

Its product of digits (129600) is a multiple of the sum of its prime divisors (405).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20210 + ... + 20526.

It is an arithmetic number, because the mean of its divisors is an integer number (335172).

Almost surely, 2^6456656 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 6456656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703440).

6456656 is an abundant number, since it is smaller than the sum of its proper divisors (6950224).

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

6456656 is a wasteful number, since it uses less digits than its factorization.

6456656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 405 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 6456656 is about 2540.9950806721. The cubic root of 6456656 is about 186.2098068006.

The spelling of 6456656 in words is "six million, four hundred fifty-six thousand, six hundred fifty-six".