6408864 has 216 divisors, whose sum is σ = 24137568. Its totient is φ = 1566720.

The previous prime is 6408859. The next prime is 6408869. The reversal of 6408864 is 4688046.

6408864 is a `hidden beast` number, since 640 + 8 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6408859) and next prime (6408869).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6408869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 376984 + ... + 377000.

It is an arithmetic number, because the mean of its divisors is an integer number (111748).

Almost surely, 2^6408864 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 6408864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12068784).

6408864 is an abundant number, since it is smaller than the sum of its proper divisors (17728704).

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

6408864 is a wasteful number, since it uses less digits than its factorization.

6408864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6408864 is about 2531.5734237821. The cubic root of 6408864 is about 185.7492284771.

The spelling of 6408864 in words is "six million, four hundred eight thousand, eight hundred sixty-four".