32449984 has 56 divisors (see below), whose sum is σ = 74359008. Its totient is φ = 13762560.

The previous prime is 32449981. The next prime is 32450009. The reversal of 32449984 is 48994423.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 32449984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32449981) 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, 50304 + ... + 50944.

Almost surely, 2^32449984 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 32449984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37179504).

32449984 is an abundant number, since it is smaller than the sum of its proper divisors (41909024).

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

32449984 is a wasteful number, since it uses less digits than its factorization.

32449984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 763 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 32449984 is about 5696.4887430767. The cubic root of 32449984 is about 318.9614245666.

It can be divided in two parts, 32449 and 984, that added together give a palindrome (33433).

The spelling of 32449984 in words is "thirty-two million, four hundred forty-nine thousand, nine hundred eighty-four".