7666864 has 40 divisors (see below), whose sum is σ = 15990048. Its totient is φ = 3548160.

The previous prime is 7666859. The next prime is 7666903. The reversal of 7666864 is 4686667.

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 7666864.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 19114 + ... + 19510.

Almost surely, 2^7666864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7666864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7995024).

7666864 is an abundant number, since it is smaller than the sum of its proper divisors (8323184).

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

7666864 is a wasteful number, since it uses less digits than its factorization.

7666864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 487 counting only the distinct ones).

The product of its digits is 290304, while the sum is 43.

The square root of 7666864 is about 2768.9102549559. The cubic root of 7666864 is about 197.1844150795.

The spelling of 7666864 in words is "seven million, six hundred sixty-six thousand, eight hundred sixty-four".