6864384 has 80 divisors (see below), whose sum is σ = 18905040. Its totient is φ = 2211840.

The previous prime is 6864383. The next prime is 6864427. The reversal of 6864384 is 4834686.

6864384 = T₂₉₉ + T₃₀₀ + ... + T₄₀₇.

6864384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62922 + ... + 63030.

It is an arithmetic number, because the mean of its divisors is an integer number (236313).

Almost surely, 2^6864384 is an apocalyptic number.

6864384 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 6864384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9452520).

6864384 is an abundant number, since it is smaller than the sum of its proper divisors (12040656).

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

6864384 is a wasteful number, since it uses less digits than its factorization.

6864384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 6864384 is about 2619.9969465631. The cubic root of 6864384 is about 190.0497007561.

The spelling of 6864384 in words is "six million, eight hundred sixty-four thousand, three hundred eighty-four".