6416384 has 48 divisors (see below), whose sum is σ = 13873860. Its totient is φ = 2949120.

The previous prime is 6416383. The next prime is 6416413. The reversal of 6416384 is 4836146.

It can be written as a sum of positive squares in 2 ways, for example, as 6390784 + 25600 = 2528^2 + 160^2 .

It is a super-3 number, since 3×6416384³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (13824) is a multiple of the sum of its prime divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 6416384.

It is not an unprimeable number, because it can be changed into a prime (6416381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26504 + ... + 26744.

Almost surely, 2^6416384 is an apocalyptic number.

6416384 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 6416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936930).

6416384 is an abundant number, since it is smaller than the sum of its proper divisors (7457476).

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

6416384 is a wasteful number, since it uses less digits than its factorization.

6416384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 256 counting only the distinct ones).

The product of its digits is 13824, while the sum is 32.

The square root of 6416384 is about 2533.0582306769. The cubic root of 6416384 is about 185.8218512392.

It can be divided in two parts, 64 and 16384, that multiplied together give a 20-th power (1048576 = 2²⁰).

The spelling of 6416384 in words is "six million, four hundred sixteen thousand, three hundred eighty-four".