6409536 has 112 divisors (see below), whose sum is σ = 20482560. Its totient is φ = 1728000.

The previous prime is 6409523. The next prime is 6409549. The reversal of 6409536 is 6359046.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6409523) and next prime (6409549).

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 6409497 and 6409506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25411 + ... + 25661.

It is an arithmetic number, because the mean of its divisors is an integer number (182880).

Almost surely, 2^6409536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10241280).

6409536 is an abundant number, since it is smaller than the sum of its proper divisors (14073024).

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

6409536 is a wasteful number, since it uses less digits than its factorization.

6409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 6409536 is about 2531.7061440854. The cubic root of 6409536 is about 185.7557204815.

The spelling of 6409536 in words is "six million, four hundred nine thousand, five hundred thirty-six".