7864641 has 16 divisors (see below), whose sum is σ = 11851200. Its totient is φ = 5153184.

The previous prime is 7864639. The next prime is 7864673. The reversal of 7864641 is 1464687.

7864641 is a `hidden beast` number, since 7 + 8 + 6 + 4 + 641 = 666.

It is not a de Polignac number, because 7864641 - 2¹ = 7864639 is a prime.

7864641 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 7864596 and 7864605.

It is not an unprimeable number, because it can be changed into a prime (7864621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 876 + ... + 4061.

It is an arithmetic number, because the mean of its divisors is an integer number (740700).

Almost surely, 2^7864641 is an apocalyptic number.

It is an amenable number.

7864641 is a deficient number, since it is larger than the sum of its proper divisors (3986559).

7864641 is a wasteful number, since it uses less digits than its factorization.

7864641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005 (or 4999 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7864641 is about 2804.3967265706. The cubic root of 7864641 is about 198.8655860236.

It can be divided in two parts, 78646 and 41, that added together give a palindrome (78687).

The spelling of 7864641 in words is "seven million, eight hundred sixty-four thousand, six hundred forty-one".