7947648 has 48 divisors (see below), whose sum is σ = 22873500. Its totient is φ = 2648832.

The previous prime is 7947631. The next prime is 7947649. The reversal of 7947648 is 8467497.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7947649) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2298 + ... + 4601.

Almost surely, 2^7947648 is an apocalyptic number.

It is an amenable number.

7947648 is an abundant number, since it is smaller than the sum of its proper divisors (14925852).

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

7947648 is a wasteful number, since it uses less digits than its factorization.

7947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6919 (or 6904 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 7947648 is about 2819.1573209028. The cubic root of 7947648 is about 199.5627782154.

It can be divided in two parts, 79476 and 48, that added together give a square (79524 = 282²).

The spelling of 7947648 in words is "seven million, nine hundred forty-seven thousand, six hundred forty-eight".