6812064 has 144 divisors (see below), whose sum is σ = 23063040. Its totient is φ = 1866240.

The previous prime is 6812021. The next prime is 6812077. The reversal of 6812064 is 4602186.

6812064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62442 + ... + 62550.

It is an arithmetic number, because the mean of its divisors is an integer number (160160).

Almost surely, 2^6812064 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 6812064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11531520).

6812064 is an abundant number, since it is smaller than the sum of its proper divisors (16250976).

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

6812064 is a wasteful number, since it uses less digits than its factorization.

6812064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6812064 is about 2609.9931034392. The cubic root of 6812064 is about 189.5656189328.

The spelling of 6812064 in words is "six million, eight hundred twelve thousand, sixty-four".