6632832 has 64 divisors (see below), whose sum is σ = 18408960. Its totient is φ = 2112000.

The previous prime is 6632819. The next prime is 6632837. The reversal of 6632832 is 2382366.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 6632832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6632837) 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, 8457 + ... + 9207.

It is an arithmetic number, because the mean of its divisors is an integer number (287640).

Almost surely, 2^6632832 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 6632832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9204480).

6632832 is an abundant number, since it is smaller than the sum of its proper divisors (11776128).

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

6632832 is a wasteful number, since it uses less digits than its factorization.

6632832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 779 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 6632832 is about 2575.4285080351. The cubic root of 6632832 is about 187.8882692069. Note that the first 3 decimals are identical.

The spelling of 6632832 in words is "six million, six hundred thirty-two thousand, eight hundred thirty-two".