6842880 has 240 divisors, whose sum is σ = 26810784. Its totient is φ = 1658880.

The previous prime is 6842873. The next prime is 6842881. The reversal of 6842880 is 882486.

It is a tau number, because it is divible by the number of its divisors (240).

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 (6842881) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 622075 + ... + 622085.

Almost surely, 2^6842880 is an apocalyptic number.

6842880 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 6842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405392).

6842880 is an abundant number, since it is smaller than the sum of its proper divisors (19967904).

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

6842880 is an equidigital number, since it uses as much as digits as its factorization.

6842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 6842880 is about 2615.8899059402. The cubic root of 6842880 is about 189.8510374432.

The spelling of 6842880 in words is "six million, eight hundred forty-two thousand, eight hundred eighty".