32322432 has 64 divisors (see below), whose sum is σ = 87993360. Its totient is φ = 10506240.

The previous prime is 32322431. The next prime is 32322461. The reversal of 32322432 is 23422323.

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

It is a super-2 number, since 2×32322432² = 2089479220789248, 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 = 32322399 and 32322408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32322431) 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, 14718 + ... + 16770.

Almost surely, 2^32322432 is an apocalyptic number.

32322432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32322432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43996680).

32322432 is an abundant number, since it is smaller than the sum of its proper divisors (55670928).

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

32322432 is a wasteful number, since it uses less digits than its factorization.

32322432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2099 counting only the distinct ones).

The product of its digits is 1728, while the sum is 21.

The square root of 32322432 is about 5685.2820510508. The cubic root of 32322432 is about 318.5429591272.

Adding to 32322432 its reverse (23422323), we get a palindrome (55744755).

The spelling of 32322432 in words is "thirty-two million, three hundred twenty-two thousand, four hundred thirty-two".