6468864 has 36 divisors (see below), whose sum is σ = 17218656. Its totient is φ = 2156032.

The previous prime is 6468853. The next prime is 6468883. The reversal of 6468864 is 4688646.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 3444 + ... + 4979.

It is an arithmetic number, because the mean of its divisors is an integer number (478296).

Almost surely, 2^6468864 is an apocalyptic number.

6468864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6468864 is an abundant number, since it is smaller than the sum of its proper divisors (10749792).

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

6468864 is an equidigital number, since it uses as much as digits as its factorization.

6468864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8428 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 6468864 is about 2543.3961547506. The cubic root of 6468864 is about 186.3270923893.

The spelling of 6468864 in words is "six million, four hundred sixty-eight thousand, eight hundred sixty-four".