6441264 has 60 divisors (see below), whose sum is σ = 18483192. Its totient is φ = 2092800.

The previous prime is 6441257. The next prime is 6441269. The reversal of 6441264 is 4621446.

6441264 is a `hidden beast` number, since 644 + 12 + 6 + 4 = 666.

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 (6441269) 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, 5359 + ... + 6449.

Almost surely, 2^6441264 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 6441264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596).

6441264 is an abundant number, since it is smaller than the sum of its proper divisors (12041928).

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

6441264 is a wasteful number, since it uses less digits than its factorization.

6441264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1137 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 6441264 is about 2537.9645387594. The cubic root of 6441264 is about 186.0617207586.

It can be divided in two parts, 64 and 41264, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 6441264 in words is "six million, four hundred forty-one thousand, two hundred sixty-four".