32982816 has 48 divisors (see below), whose sum is σ = 87696000. Its totient is φ = 10852608.

The previous prime is 32982793. The next prime is 32982821. The reversal of 32982816 is 61828923.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 5410 + ... + 9758.

It is an arithmetic number, because the mean of its divisors is an integer number (1827000).

Almost surely, 2^32982816 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 32982816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43848000).

32982816 is an abundant number, since it is smaller than the sum of its proper divisors (54713184).

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

32982816 is a wasteful number, since it uses less digits than its factorization.

32982816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4433 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 32982816 is about 5743.0667765576. The cubic root of 32982816 is about 320.6977483128.

The spelling of 32982816 in words is "thirty-two million, nine hundred eighty-two thousand, eight hundred sixteen".