6384096 has 72 divisors (see below), whose sum is σ = 18850104. Its totient is φ = 2125440.

The previous prime is 6384071. The next prime is 6384101. The reversal of 6384096 is 6904836.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6384096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7366 + ... + 8186.

It is an arithmetic number, because the mean of its divisors is an integer number (261807).

Almost surely, 2^6384096 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 6384096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425052).

6384096 is an abundant number, since it is smaller than the sum of its proper divisors (12466008).

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

6384096 is an equidigital number, since it uses as much as digits as its factorization.

6384096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6384096 is about 2526.6768689328. The cubic root of 6384096 is about 185.5096344679.

It can be divided in two parts, 63840 and 96, that added together give a palindrome (63936).

The spelling of 6384096 in words is "six million, three hundred eighty-four thousand, ninety-six".