6805656 has 96 divisors (see below), whose sum is σ = 21687120. Its totient is φ = 1900800.

The previous prime is 6805649. The next prime is 6805663. The reversal of 6805656 is 6565086.

It is an interprime number because it is at equal distance from previous prime (6805649) and next prime (6805663).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6805656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9966 + ... + 10626.

Almost surely, 2^6805656 is an apocalyptic number.

6805656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6805656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10843560).

6805656 is an abundant number, since it is smaller than the sum of its proper divisors (14881464).

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

6805656 is a wasteful number, since it uses less digits than its factorization.

6805656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 6805656 is about 2608.7652251592. The cubic root of 6805656 is about 189.5061598330.

It can be divided in two parts, 680 and 5656, that added together give a palindrome (6336).

The spelling of 6805656 in words is "six million, eight hundred five thousand, six hundred fifty-six".