7660656 has 100 divisors (see below), whose sum is σ = 23226192. Its totient is φ = 2433024.

The previous prime is 7660649. The next prime is 7660699. The reversal of 7660656 is 6560667.

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

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 7660656.

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 19 ways as a sum of consecutive naturals, for example, 29680 + ... + 29936.

Almost surely, 2^7660656 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 7660656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613096).

7660656 is an abundant number, since it is smaller than the sum of its proper divisors (15565536).

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

7660656 is a wasteful number, since it uses less digits than its factorization.

7660656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 285 counting only the distinct ones).

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

The square root of 7660656 is about 2767.7890092997. The cubic root of 7660656 is about 197.1311794325.

The spelling of 7660656 in words is "seven million, six hundred sixty thousand, six hundred fifty-six".