7944640 has 112 divisors (see below), whose sum is σ = 21543264. Its totient is φ = 2764800.

The previous prime is 7944631. The next prime is 7944653. The reversal of 7944640 is 464497.

It is a junction number, because it is equal to n+sod(n) for n = 7944596 and 7944605.

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, 130210 + ... + 130270.

Almost surely, 2^7944640 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 7944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10771632).

7944640 is an abundant number, since it is smaller than the sum of its proper divisors (13598624).

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

7944640 is a wasteful number, since it uses less digits than its factorization.

7944640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 7944640 is about 2818.6237776617. The cubic root of 7944640 is about 199.5375984144.

The spelling of 7944640 in words is "seven million, nine hundred forty-four thousand, six hundred forty".