6418944 has 120 divisors (see below), whose sum is σ = 21278400. Its totient is φ = 1824768.

The previous prime is 6418943. The next prime is 6418949. The reversal of 6418944 is 4498146.

It is a happy number.

6418944 is a `hidden beast` number, since 641 + 8 + 9 + 4 + 4 = 666.

6418944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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.

It is a junction number, because it is equal to n+sod(n) for n = 6418899 and 6418908.

It is not an unprimeable number, because it can be changed into a prime (6418943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32157 + ... + 32355.

It is an arithmetic number, because the mean of its divisors is an integer number (177320).

Almost surely, 2^6418944 is an apocalyptic number.

6418944 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 6418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639200).

6418944 is an abundant number, since it is smaller than the sum of its proper divisors (14859456).

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

6418944 is a wasteful number, since it uses less digits than its factorization.

6418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 211 counting only the distinct ones).

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

The square root of 6418944 is about 2533.5634983162. The cubic root of 6418944 is about 185.8465609349.

The spelling of 6418944 in words is "six million, four hundred eighteen thousand, nine hundred forty-four".