6798240 has 72 divisors (see below), whose sum is σ = 23203908. Its totient is φ = 1812480.

The previous prime is 6798227. The next prime is 6798247. The reversal of 6798240 is 428976.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 17424 = 2604^2 + 132^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 6798195 and 6798204.

It is not an unprimeable number, because it can be changed into a prime (6798247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 921 + ... + 3800.

Almost surely, 2^6798240 is an apocalyptic number.

6798240 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 6798240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11601954).

6798240 is an abundant number, since it is smaller than the sum of its proper divisors (16405668).

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

6798240 is a wasteful number, since it uses less digits than its factorization.

6798240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4731 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 6798240 is about 2607.3434756472. The cubic root of 6798240 is about 189.4373010063.

The spelling of 6798240 in words is "six million, seven hundred ninety-eight thousand, two hundred forty".