7893664 has 24 divisors (see below), whose sum is σ = 16359840. Its totient is φ = 3738816.

The previous prime is 7893653. The next prime is 7893673. The reversal of 7893664 is 4663987.

It is a happy number.

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 7893664.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5884 + ... + 7099.

It is an arithmetic number, because the mean of its divisors is an integer number (681660).

Almost surely, 2^7893664 is an apocalyptic number.

It is an amenable number.

7893664 is an abundant number, since it is smaller than the sum of its proper divisors (8466176).

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

7893664 is a wasteful number, since it uses less digits than its factorization.

7893664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13012 (or 13004 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 7893664 is about 2809.5665146068. The cubic root of 7893664 is about 199.1099112533.

The spelling of 7893664 in words is "seven million, eight hundred ninety-three thousand, six hundred sixty-four".