32760416 has 48 divisors (see below), whose sum is σ = 70651728. Its totient is φ = 14860800.

The previous prime is 32760391. The next prime is 32760419. The reversal of 32760416 is 61406723.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32760419) 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 7 ways as a sum of consecutive naturals, for example, 24731 + ... + 26021.

It is an arithmetic number, because the mean of its divisors is an integer number (1471911).

Almost surely, 2^32760416 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 32760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35325864).

32760416 is an abundant number, since it is smaller than the sum of its proper divisors (37891312).

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

32760416 is a wasteful number, since it uses less digits than its factorization.

32760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 32760416 is about 5723.6715489273. The cubic root of 32760416 is about 319.9753105952.

The spelling of 32760416 in words is "thirty-two million, seven hundred sixty thousand, four hundred sixteen".