7973648 has 20 divisors (see below), whose sum is σ = 15867660. Its totient is φ = 3878784.

The previous prime is 7973627. The next prime is 7973653. The reversal of 7973648 is 8463797.

It can be written as a sum of positive squares in 2 ways, for example, as 6210064 + 1763584 = 2492^2 + 1328^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7973599 and 7973608.

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 3 ways as a sum of consecutive naturals, for example, 6143 + ... + 7326.

It is an arithmetic number, because the mean of its divisors is an integer number (793383).

Almost surely, 2^7973648 is an apocalyptic number.

It is an amenable number.

7973648 is a deficient number, since it is larger than the sum of its proper divisors (7894012).

7973648 is a wasteful number, since it uses less digits than its factorization.

7973648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13514 (or 13508 counting only the distinct ones).

The product of its digits is 254016, while the sum is 44.

The square root of 7973648 is about 2823.7648627320. The cubic root of 7973648 is about 199.7801584370.

The spelling of 7973648 in words is "seven million, nine hundred seventy-three thousand, six hundred forty-eight".