6378240 has 144 divisors (see below), whose sum is σ = 22369536. Its totient is φ = 1536000.

The previous prime is 6378217. The next prime is 6378241. The reversal of 6378240 is 428736.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6378198 and 6378207.

It is not an unprimeable number, because it can be changed into a prime (6378241) 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 15 ways as a sum of consecutive naturals, for example, 42165 + ... + 42315.

It is an arithmetic number, because the mean of its divisors is an integer number (155344).

Almost surely, 2^6378240 is an apocalyptic number.

6378240 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 6378240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11184768).

6378240 is an abundant number, since it is smaller than the sum of its proper divisors (15991296).

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

6378240 is a wasteful number, since it uses less digits than its factorization.

6378240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 6378240 is about 2525.5177686962. The cubic root of 6378240 is about 185.4528957247.

The spelling of 6378240 in words is "six million, three hundred seventy-eight thousand, two hundred forty".