7648641 has 64 divisors (see below), whose sum is σ = 15267840. Its totient is φ = 3654720.

The previous prime is 7648637. The next prime is 7648643. The reversal of 7648641 is 1468467.

7648641 is a `hidden beast` number, since 7 + 6 + 4 + 8 + 641 = 666.

7648641 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7648641 - 2² = 7648637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7648596 and 7648605.

It is not an unprimeable number, because it can be changed into a prime (7648643) 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 63 ways as a sum of consecutive naturals, for example, 26886 + ... + 27168.

It is an arithmetic number, because the mean of its divisors is an integer number (238560).

Almost surely, 2^7648641 is an apocalyptic number.

It is an amenable number.

7648641 is a deficient number, since it is larger than the sum of its proper divisors (7619199).

7648641 is a wasteful number, since it uses less digits than its factorization.

7648641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7648641 is about 2765.6176525326. The cubic root of 7648641 is about 197.0280650921.

The spelling of 7648641 in words is "seven million, six hundred forty-eight thousand, six hundred forty-one".