7959648 has 24 divisors (see below), whose sum is σ = 20894328. Its totient is φ = 2653184.

The previous prime is 7959599. The next prime is 7959649. The reversal of 7959648 is 8469597.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 7959597 and 7959606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7959649) 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 3 ways as a sum of consecutive naturals, for example, 41361 + ... + 41552.

It is an arithmetic number, because the mean of its divisors is an integer number (870597).

Almost surely, 2^7959648 is an apocalyptic number.

It is an amenable number.

7959648 is an abundant number, since it is smaller than the sum of its proper divisors (12934680).

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

7959648 is a wasteful number, since it uses less digits than its factorization.

7959648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82926 (or 82918 counting only the distinct ones).

The product of its digits is 544320, while the sum is 48.

The square root of 7959648 is about 2821.2848136975. The cubic root of 7959648 is about 199.6631663673.

The spelling of 7959648 in words is "seven million, nine hundred fifty-nine thousand, six hundred forty-eight".