7928641 has 24 divisors (see below), whose sum is σ = 9751104. Its totient is φ = 6420960.

The previous prime is 7928623. The next prime is 7928651. The reversal of 7928641 is 1468297.

It is not a de Polignac number, because 7928641 - 2¹¹ = 7926593 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7928641.

It is not an unprimeable number, because it can be changed into a prime (7928651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111636 + ... + 111706.

It is an arithmetic number, because the mean of its divisors is an integer number (406296).

Almost surely, 2^7928641 is an apocalyptic number.

7928641 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

7928641 is a deficient number, since it is larger than the sum of its proper divisors (1822463).

7928641 is a wasteful number, since it uses less digits than its factorization.

7928641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 174 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 7928641 is about 2815.7842602018. The cubic root of 7928641 is about 199.4035647598.

The spelling of 7928641 in words is "seven million, nine hundred twenty-eight thousand, six hundred forty-one".