6826464 has 48 divisors (see below), whose sum is σ = 19913040. Its totient is φ = 2275200.

The previous prime is 6826451. The next prime is 6826471. The reversal of 6826464 is 4646286.

It is a happy number.

6826464 is a `hidden beast` number, since 6 + 8 + 2 + 646 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6826464² = 93201221486592, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3087 + ... + 4814.

It is an arithmetic number, because the mean of its divisors is an integer number (414855).

Almost surely, 2^6826464 is an apocalyptic number.

It is an amenable number.

6826464 is an abundant number, since it is smaller than the sum of its proper divisors (13086576).

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

6826464 is a wasteful number, since it uses less digits than its factorization.

6826464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7920 (or 7906 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 6826464 is about 2612.7502750933. The cubic root of 6826464 is about 189.6990989716.

The spelling of 6826464 in words is "six million, eight hundred twenty-six thousand, four hundred sixty-four".