6826400 has 144 divisors (see below), whose sum is σ = 20248704. Its totient is φ = 2196480.

The previous prime is 6826399. The next prime is 6826403. The reversal of 6826400 is 46286.

It is a super-3 number, since 3×6826400³ (a number of 21 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6826400.

It is not an unprimeable number, because it can be changed into a prime (6826403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128774 + ... + 128826.

It is an arithmetic number, because the mean of its divisors is an integer number (140616).

Almost surely, 2^6826400 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 6826400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124352).

6826400 is an abundant number, since it is smaller than the sum of its proper divisors (13422304).

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

6826400 is a wasteful number, since it uses less digits than its factorization.

6826400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 6826400 is about 2612.7380274341. The cubic root of 6826400 is about 189.6985061425.

The spelling of 6826400 in words is "six million, eight hundred twenty-six thousand, four hundred".