6447264 has 48 divisors (see below), whose sum is σ = 17055360. Its totient is φ = 2132480.

The previous prime is 6447257. The next prime is 6447271. The reversal of 6447264 is 4627446.

It is an interprime number because it is at equal distance from previous prime (6447257) and next prime (6447271).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 22804 + ... + 23084.

It is an arithmetic number, because the mean of its divisors is an integer number (355320).

Almost surely, 2^6447264 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 6447264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8527680).

6447264 is an abundant number, since it is smaller than the sum of its proper divisors (10608096).

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

6447264 is a wasteful number, since it uses less digits than its factorization.

6447264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 6447264 is about 2539.1463132321. The cubic root of 6447264 is about 186.1194746338.

The spelling of 6447264 in words is "six million, four hundred forty-seven thousand, two hundred sixty-four".