6848064 has 70 divisors (see below), whose sum is σ = 20315174. Its totient is φ = 2280960.

The previous prime is 6848063. The next prime is 6848087. The reversal of 6848064 is 4608486.

It can be written as a sum of positive squares in only one way, i.e., 6718464 + 129600 = 2592^2 + 360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6848063) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4524 + ... + 5844.

Almost surely, 2^6848064 is an apocalyptic number.

6848064 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 6848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10157587).

6848064 is an abundant number, since it is smaller than the sum of its proper divisors (13467110).

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

6848064 is a wasteful number, since it uses less digits than its factorization.

6848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1345 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6848064 is about 2616.8805857356. The cubic root of 6848064 is about 189.8989675228.

The spelling of 6848064 in words is "six million, eight hundred forty-eight thousand, sixty-four".