32040320 has 64 divisors (see below), whose sum is σ = 82509840. Its totient is φ = 11827200.

The previous prime is 32040319. The next prime is 32040341. The reversal of 32040320 is 2304023.

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

It is a junction number, because it is equal to n+sod(n) for n = 32040295 and 32040304.

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, 6395 + ... + 10245.

Almost surely, 2^32040320 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 32040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41254920).

32040320 is an abundant number, since it is smaller than the sum of its proper divisors (50469520).

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

32040320 is a wasteful number, since it uses less digits than its factorization.

32040320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3883 (or 3871 counting only the distinct ones).

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

The square root of 32040320 is about 5660.4169457735. The cubic root of 32040320 is about 317.6134961177.

Adding to 32040320 its reverse (2304023), we get a palindrome (34344343).

The spelling of 32040320 in words is "thirty-two million, forty thousand, three hundred twenty".