6441984 has 88 divisors (see below), whose sum is σ = 19159920. Its totient is φ = 2138112.

The previous prime is 6441977. The next prime is 6441989. The reversal of 6441984 is 4891446.

It is a happy number.

6441984 is a `hidden beast` number, since 644 + 1 + 9 + 8 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (6441989) 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, 27532 + ... + 27764.

Almost surely, 2^6441984 is an apocalyptic number.

6441984 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 6441984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579960).

6441984 is an abundant number, since it is smaller than the sum of its proper divisors (12717936).

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

6441984 is a wasteful number, since it uses less digits than its factorization.

6441984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 238 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 6441984 is about 2538.1063807492. The cubic root of 6441984 is about 186.0686531168.

It can be divided in two parts, 644 and 1984, that added together give a triangular number (2628 = T₇₂).

The spelling of 6441984 in words is "six million, four hundred forty-one thousand, nine hundred eighty-four".