32321120 has 96 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 11612160.

The previous prime is 32321089. The next prime is 32321137. The reversal of 32321120 is 2112323.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 32321095 and 32321104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85091 + ... + 85469.

It is an arithmetic number, because the mean of its divisors is an integer number (879795).

Almost surely, 2^32321120 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 32321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

32321120 is an abundant number, since it is smaller than the sum of its proper divisors (52139200).

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

32321120 is a wasteful number, since it uses less digits than its factorization.

32321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 32321120 is about 5685.1666642237. The cubic root of 32321120 is about 318.5386490759.

Adding to 32321120 its reverse (2112323), we get a palindrome (34433443).

The spelling of 32321120 in words is "thirty-two million, three hundred twenty-one thousand, one hundred twenty".