32809984 has 33 divisors (see below), whose sum is σ = 65956387. Its totient is φ = 16313344.

The previous prime is 32809957. The next prime is 32809999. The reversal of 32809984 is 48990823.

It is a happy number.

The square root of 32809984 is 5728.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32809984.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 183207 + ... + 183385.

Almost surely, 2^32809984 is an apocalyptic number.

32809984 is the 5728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32809984

32809984 is an abundant number, since it is smaller than the sum of its proper divisors (33146403).

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

32809984 is an frugal number, since it uses more digits than its factorization.

32809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The cubic root of 32809984 is about 320.1366083401.

The spelling of 32809984 in words is "thirty-two million, eight hundred nine thousand, nine hundred eighty-four".