7984648 has 24 divisors (see below), whose sum is σ = 17416350. Its totient is φ = 3421824.

The previous prime is 7984643. The next prime is 7984649. The reversal of 7984648 is 8464897.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6140484 + 1844164 = 2478^2 + 1358^2 .

It is a d-powerful number, because it can be written as 7⁷ + 9⁷ + 8 + 4² + 6⁷ + 4⁵ + 8⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 7984598 and 7984607.

It is not an unprimeable number, because it can be changed into a prime (7984643) 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 5 ways as a sum of consecutive naturals, for example, 9793 + ... + 10576.

Almost surely, 2^7984648 is an apocalyptic number.

It is an amenable number.

7984648 is an abundant number, since it is smaller than the sum of its proper divisors (9431702).

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

7984648 is a wasteful number, since it uses less digits than its factorization.

7984648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20389 (or 20378 counting only the distinct ones).

The product of its digits is 387072, while the sum is 46.

The square root of 7984648 is about 2825.7119456873. The cubic root of 7984648 is about 199.8719847446.

Subtracting 7984648 from its reverse (8464897), we obtain a square (480249 = 693²).

The spelling of 7984648 in words is "seven million, nine hundred eighty-four thousand, six hundred forty-eight".