6706656 has 144 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 1935360.

The previous prime is 6706631. The next prime is 6706669. The reversal of 6706656 is 6566076.

It is a tau number, because it is divible by the number of its divisors (144).

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 6706656.

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 23 ways as a sum of consecutive naturals, for example, 91836 + ... + 91908.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

Almost surely, 2^6706656 is an apocalyptic number.

6706656 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 6706656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909080).

6706656 is an abundant number, since it is smaller than the sum of its proper divisors (15111504).

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

6706656 is a wasteful number, since it uses less digits than its factorization.

6706656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 6706656 is about 2589.7212205178. The cubic root of 6706656 is about 188.5827698807.

The spelling of 6706656 in words is "six million, seven hundred six thousand, six hundred fifty-six".