32740960 has 192 divisors, whose sum is σ = 97542144. Its totient is φ = 10137600.

The previous prime is 32740949. The next prime is 32740969. The reversal of 32740960 is 6904723.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32740969) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 798540 + ... + 798580.

It is an arithmetic number, because the mean of its divisors is an integer number (508032).

Almost surely, 2^32740960 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 32740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48771072).

32740960 is an abundant number, since it is smaller than the sum of its proper divisors (64801184).

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

32740960 is a wasteful number, since it uses less digits than its factorization.

32740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 32740960 is about 5721.9716881509. The cubic root of 32740960 is about 319.9119549441.

The spelling of 32740960 in words is "thirty-two million, seven hundred forty thousand, nine hundred sixty".