6456680 has 64 divisors (see below), whose sum is σ = 15482880. Its totient is φ = 2419200.

The previous prime is 6456679. The next prime is 6456691. The reversal of 6456680 is 866546.

6456680 = 343² + 344² + ... + 390².

It is a Cunningham number, because it is equal to 2541²-1.

It is a zygodrome in base 3.

It is a self number, because there is not a number n which added to its sum of digits gives 6456680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50777 + ... + 50903.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^6456680 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 6456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7741440).

6456680 is an abundant number, since it is smaller than the sum of its proper divisors (9026200).

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

6456680 is a wasteful number, since it uses less digits than its factorization.

6456680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 6456680 is about 2540.9998032271. Note that the first 3 decimals coincide. The cubic root of 6456680 is about 186.2100375201.

It can be divided in two parts, 64566 and 80, that added together give a palindrome (64646).

The spelling of 6456680 in words is "six million, four hundred fifty-six thousand, six hundred eighty".