6324864 has 128 divisors (see below), whose sum is σ = 20791680. Its totient is φ = 1658880.

The previous prime is 6324847. The next prime is 6324881. The reversal of 6324864 is 4684236.

It is an interprime number because it is at equal distance from previous prime (6324847) and next prime (6324881).

It is a tau number, because it is divible by the number of its divisors (128).

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 pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34854 + ... + 35034.

It is an arithmetic number, because the mean of its divisors is an integer number (162435).

Almost surely, 2^6324864 is an apocalyptic number.

6324864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6324864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10395840).

6324864 is an abundant number, since it is smaller than the sum of its proper divisors (14466816).

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

6324864 is a wasteful number, since it uses less digits than its factorization.

6324864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 206 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 6324864 is about 2514.9282295922. The cubic root of 6324864 is about 184.9341279968.

The spelling of 6324864 in words is "six million, three hundred twenty-four thousand, eight hundred sixty-four".