6711264 has 72 divisors (see below), whose sum is σ = 21818160. Its totient is φ = 1916928.

The previous prime is 6711253. The next prime is 6711301. The reversal of 6711264 is 4621176.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 352 + ... + 3680.

It is an arithmetic number, because the mean of its divisors is an integer number (303030).

Almost surely, 2^6711264 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 6711264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10909080).

6711264 is an abundant number, since it is smaller than the sum of its proper divisors (15106896).

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

6711264 is a wasteful number, since it uses less digits than its factorization.

6711264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3352 (or 3341 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 6711264 is about 2590.6107388027. The cubic root of 6711264 is about 188.6259503896.

It can be divided in two parts, 67112 and 64, that added together give a palindrome (67176).

The spelling of 6711264 in words is "six million, seven hundred eleven thousand, two hundred sixty-four".