6395040 has 72 divisors (see below), whose sum is σ = 21827988. Its totient is φ = 1704960.

The previous prime is 6394981. The next prime is 6395047. The reversal of 6395040 is 405936.

It is a happy number.

6395040 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 2 ways, for example, as 6290064 + 104976 = 2508^2 + 324^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 6394995 and 6395013.

It is not an unprimeable number, because it can be changed into a prime (6395047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 781 + ... + 3660.

Almost surely, 2^6395040 is an apocalyptic number.

6395040 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 6395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10913994).

6395040 is an abundant number, since it is smaller than the sum of its proper divisors (15432948).

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

6395040 is a wasteful number, since it uses less digits than its factorization.

6395040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4462 (or 4451 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 6395040 is about 2528.8416320521. The cubic root of 6395040 is about 185.6155778641.

The spelling of 6395040 in words is "six million, three hundred ninety-five thousand, forty".