6828864 has 56 divisors (see below), whose sum is σ = 20653248. Its totient is φ = 1950720.

The previous prime is 6828863. The next prime is 6828869. The reversal of 6828864 is 4688286.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 (6828863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1197 + ... + 3884.

It is an arithmetic number, because the mean of its divisors is an integer number (368808).

Almost surely, 2^6828864 is an apocalyptic number.

6828864 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6828864 is an abundant number, since it is smaller than the sum of its proper divisors (13824384).

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

6828864 is a wasteful number, since it uses less digits than its factorization.

6828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5103 (or 5093 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 6828864 is about 2613.2095208766. The cubic root of 6828864 is about 189.7213273900.

The spelling of 6828864 in words is "six million, eight hundred twenty-eight thousand, eight hundred sixty-four".