7656656 has 40 divisors (see below), whose sum is σ = 17112000. Its totient is φ = 3250944.

The previous prime is 7656653. The next prime is 7656661. The reversal of 7656656 is 6566567.

It is a super-2 number, since 2×7656656² = 117248762204672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7656653) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15095 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (427800).

Almost surely, 2^7656656 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 7656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556000).

7656656 is an abundant number, since it is smaller than the sum of its proper divisors (9455344).

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

7656656 is a wasteful number, since it uses less digits than its factorization.

7656656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 645 counting only the distinct ones).

The product of its digits is 226800, while the sum is 41.

The square root of 7656656 is about 2767.0663165165. The cubic root of 7656656 is about 197.0968628762.

The spelling of 7656656 in words is "seven million, six hundred fifty-six thousand, six hundred fifty-six".