6904656 has 80 divisors (see below), whose sum is σ = 21635520. Its totient is φ = 2090880.

The previous prime is 6904649. The next prime is 6904691. The reversal of 6904656 is 6564096.

It is a happy number.

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 6904656.

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 15 ways as a sum of consecutive naturals, for example, 4026 + ... + 5478.

It is an arithmetic number, because the mean of its divisors is an integer number (270444).

Almost surely, 2^6904656 is an apocalyptic number.

6904656 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 6904656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10817760).

6904656 is an abundant number, since it is smaller than the sum of its proper divisors (14730864).

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

6904656 is a wasteful number, since it uses less digits than its factorization.

6904656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6904656 is about 2627.6712123095. The cubic root of 6904656 is about 190.4206377837.

The spelling of 6904656 in words is "six million, nine hundred four thousand, six hundred fifty-six".