32004320 has 48 divisors (see below), whose sum is σ = 75968928. Its totient is φ = 12741120.

The previous prime is 32004289. The next prime is 32004337. The reversal of 32004320 is 2340023.

It is a junction number, because it is equal to n+sod(n) for n = 32004295 and 32004304.

It is a congruent number.

It is an unprimeable number.

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, 50405 + ... + 51035.

It is an arithmetic number, because the mean of its divisors is an integer number (1582686).

Almost surely, 2^32004320 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 32004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37984464).

32004320 is an abundant number, since it is smaller than the sum of its proper divisors (43964608).

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

32004320 is a wasteful number, since it uses less digits than its factorization.

32004320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 32004320 is about 5657.2360742681. The cubic root of 32004320 is about 317.4944963603.

Adding to 32004320 its reverse (2340023), we get a palindrome (34344343).

It can be divided in two parts, 3200 and 4320, that multiplied together give a cube (13824000 = 240³).

The spelling of 32004320 in words is "thirty-two million, four thousand, three hundred twenty".