6541632 has 84 divisors (see below), whose sum is σ = 19277076. Its totient is φ = 2119680.

The previous prime is 6541621. The next prime is 6541663. The reversal of 6541632 is 2361456.

6541632 is a `hidden beast` number, since 654 + 1 + 6 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 665856 + 5875776 = 816^2 + 2424^2 .

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6541596 and 6541605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23478 + ... + 23754.

It is an arithmetic number, because the mean of its divisors is an integer number (229489).

Almost surely, 2^6541632 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 6541632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9638538).

6541632 is an abundant number, since it is smaller than the sum of its proper divisors (12735444).

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

6541632 is a wasteful number, since it uses less digits than its factorization.

6541632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 6541632 is about 2557.6614318553. The cubic root of 6541632 is about 187.0231509748.

The spelling of 6541632 in words is "six million, five hundred forty-one thousand, six hundred thirty-two".