6536832 has 64 divisors (see below), whose sum is σ = 17992800. Its totient is φ = 2100224.

The previous prime is 6536813. The next prime is 6536837. The reversal of 6536832 is 2386356.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 6536793 and 6536802.

It is not an unprimeable number, because it can be changed into a prime (6536837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10843 + ... + 11429.

Almost surely, 2^6536832 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 6536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996400).

6536832 is an abundant number, since it is smaller than the sum of its proper divisors (11455968).

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

6536832 is a wasteful number, since it uses less digits than its factorization.

6536832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 621 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 6536832 is about 2556.7229024671. The cubic root of 6536832 is about 186.9773962975.

The spelling of 6536832 in words is "six million, five hundred thirty-six thousand, eight hundred thirty-two".