6811264 has 32 divisors (see below), whose sum is σ = 13708800. Its totient is φ = 3370752.

The previous prime is 6811249. The next prime is 6811267. The reversal of 6811264 is 4621186.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6811267) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16047 + ... + 16465.

It is an arithmetic number, because the mean of its divisors is an integer number (428400).

Almost surely, 2^6811264 is an apocalyptic number.

6811264 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 6811264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854400).

6811264 is an abundant number, since it is smaller than the sum of its proper divisors (6897536).

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

6811264 is a wasteful number, since it uses less digits than its factorization.

6811264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its digits is 2304, while the sum is 28.

The square root of 6811264 is about 2609.8398418294. The cubic root of 6811264 is about 189.5581978618.

The spelling of 6811264 in words is "six million, eight hundred eleven thousand, two hundred sixty-four".