6842400 has 72 divisors (see below), whose sum is σ = 22279824. Its totient is φ = 1824000.

The previous prime is 6842399. The next prime is 6842417. The reversal of 6842400 is 42486.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 975 + ... + 3825.

It is an arithmetic number, because the mean of its divisors is an integer number (309442).

Almost surely, 2^6842400 is an apocalyptic number.

6842400 is a gapful number since it is divisible by the number (60) 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 6842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11139912).

6842400 is an abundant number, since it is smaller than the sum of its proper divisors (15437424).

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

6842400 is a wasteful number, since it uses less digits than its factorization.

6842400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 6842400 is about 2615.7981573508. The cubic root of 6842400 is about 189.8465982485.

Adding to 6842400 its reverse (42486), we get a palindrome (6884886).

The spelling of 6842400 in words is "six million, eight hundred forty-two thousand, four hundred".