6447168 has 224 divisors, whose sum is σ = 23896320. Its totient is φ = 1658880.

The previous prime is 6447167. The next prime is 6447173. The reversal of 6447168 is 8617446.

6447168 is a `hidden beast` number, since 644 + 7 + 1 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (6447167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157228 + ... + 157268.

It is an arithmetic number, because the mean of its divisors is an integer number (106680).

Almost surely, 2^6447168 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 6447168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948160).

6447168 is an abundant number, since it is smaller than the sum of its proper divisors (17449152).

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

6447168 is a wasteful number, since it uses less digits than its factorization.

6447168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 66 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 6447168 is about 2539.1274091703. The cubic root of 6447168 is about 186.1185508540.

The spelling of 6447168 in words is "six million, four hundred forty-seven thousand, one hundred sixty-eight".