6768384 has 72 divisors (see below), whose sum is σ = 20603520. Its totient is φ = 1932288.

The previous prime is 6768383. The next prime is 6768409. The reversal of 6768384 is 4838676.

6768384 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6768384² = 91622043942912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a d-powerful number, because it can be written as 6⁵ + 7⁷ + 6⁸ + 8⁷ + 3¹⁰ + 8⁷ + 4⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6768383) 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, 4747 + ... + 6005.

It is an arithmetic number, because the mean of its divisors is an integer number (286160).

Almost surely, 2^6768384 is an apocalyptic number.

6768384 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 6768384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301760).

6768384 is an abundant number, since it is smaller than the sum of its proper divisors (13835136).

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

6768384 is a wasteful number, since it uses less digits than its factorization.

6768384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285 (or 1271 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 6768384 is about 2601.6118080913. The cubic root of 6768384 is about 189.1595752051.

The spelling of 6768384 in words is "six million, seven hundred sixty-eight thousand, three hundred eighty-four".