32040960 has 192 divisors, whose sum is σ = 117936000. Its totient is φ = 7274496.

The previous prime is 32040929. The next prime is 32040997. The reversal of 32040960 is 6904023.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 32040960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214966 + ... + 215114.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 2^32040960 is an apocalyptic number.

32040960 is a gapful number since it is divisible by the number (30) 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 32040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58968000).

32040960 is an abundant number, since it is smaller than the sum of its proper divisors (85895040).

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

32040960 is a wasteful number, since it uses less digits than its factorization.

32040960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 32040960 is about 5660.4734784292. The cubic root of 32040960 is about 317.6156108623.

Adding to 32040960 its reverse (6904023), we get a palindrome (38944983).

The spelling of 32040960 in words is "thirty-two million, forty thousand, nine hundred sixty".