6536320 has 64 divisors (see below), whose sum is σ = 17870400. Its totient is φ = 2239488.

The previous prime is 6536317. The next prime is 6536329. The reversal of 6536320 is 236356.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (6536329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3751 + ... + 5209.

It is an arithmetic number, because the mean of its divisors is an integer number (279225).

Almost surely, 2^6536320 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 6536320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8935200).

6536320 is an abundant number, since it is smaller than the sum of its proper divisors (11334080).

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

6536320 is a wasteful number, since it uses less digits than its factorization.

6536320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 6536320 is about 2556.6227723307. The cubic root of 6536320 is about 186.9725144767.

The spelling of 6536320 in words is "six million, five hundred thirty-six thousand, three hundred twenty".