6395904 has 72 divisors (see below), whose sum is σ = 18525780. Its totient is φ = 2125824.

The previous prime is 6395903. The next prime is 6395929. The reversal of 6395904 is 4095936.

6395904 is a `hidden beast` number, since 63 + 9 + 590 + 4 = 666.

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 zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6395903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18259 + ... + 18605.

Almost surely, 2^6395904 is an apocalyptic number.

6395904 is a gapful number since it is divisible by the number (64) 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 6395904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9262890).

6395904 is an abundant number, since it is smaller than the sum of its proper divisors (12129876).

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

6395904 is a wasteful number, since it uses less digits than its factorization.

6395904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6395904 is about 2529.0124554853. The cubic root of 6395904 is about 185.6239366670.

Subtracting from 6395904 its reverse (4095936), we obtain a cube (2299968 = 132³).

The spelling of 6395904 in words is "six million, three hundred ninety-five thousand, nine hundred four".