7882641 has 24 divisors (see below), whose sum is σ = 12416040. Its totient is φ = 4790016.

The previous prime is 7882627. The next prime is 7882661. The reversal of 7882641 is 1462887.

7882641 is a `hidden beast` number, since 7 + 8 + 8 + 2 + 641 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65025 + 7817616 = 255^2 + 2796^2 .

It is not a de Polignac number, because 7882641 - 2⁹ = 7882129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 7882596 and 7882605.

It is not an unprimeable number, because it can be changed into a prime (7882601) 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 23 ways as a sum of consecutive naturals, for example, 10035 + ... + 10791.

It is an arithmetic number, because the mean of its divisors is an integer number (517335).

Almost surely, 2^7882641 is an apocalyptic number.

It is an amenable number.

7882641 is a deficient number, since it is larger than the sum of its proper divisors (4533399).

7882641 is a wasteful number, since it uses less digits than its factorization.

7882641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 862 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 7882641 is about 2807.6041387632. The cubic root of 7882641 is about 199.0171866338.

The spelling of 7882641 in words is "seven million, eight hundred eighty-two thousand, six hundred forty-one".