6433632 has 72 divisors (see below), whose sum is σ = 18574920. Its totient is φ = 2112000.

The previous prime is 6433631. The next prime is 6433643. The reversal of 6433632 is 2363346.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×6433632² = 82783241422848, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6433596 and 6433605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6433631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25507 + ... + 25757.

It is an arithmetic number, because the mean of its divisors is an integer number (257985).

Almost surely, 2^6433632 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 6433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9287460).

6433632 is an abundant number, since it is smaller than the sum of its proper divisors (12141288).

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

6433632 is a wasteful number, since it uses less digits than its factorization.

6433632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 345 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 6433632 is about 2536.4605260086. The cubic root of 6433632 is about 185.9882059813.

Adding to 6433632 its reverse (2363346), we get a palindrome (8796978).

The spelling of 6433632 in words is "six million, four hundred thirty-three thousand, six hundred thirty-two".