6411264 has 44 divisors (see below), whose sum is σ = 17096544. Its totient is φ = 2136064.

The previous prime is 6411263. The next prime is 6411269. The reversal of 6411264 is 4621146.

It is a super-2 number, since 2×6411264² = 82208612155392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 (6411263) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2029 + ... + 4115.

Almost surely, 2^6411264 is an apocalyptic number.

6411264 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 6411264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8548272).

6411264 is an abundant number, since it is smaller than the sum of its proper divisors (10685280).

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

6411264 is a wasteful number, since it uses less digits than its factorization.

6411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2110 (or 2092 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

The square root of 6411264 is about 2532.0473929214. The cubic root of 6411264 is about 185.7724121236.

The spelling of 6411264 in words is "six million, four hundred eleven thousand, two hundred sixty-four".