32985984 has 128 divisors (see below), whose sum is σ = 96353280. Its totient is φ = 9953280.

The previous prime is 32985977. The next prime is 32985989. The reversal of 32985984 is 48958923.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (622080) is a multiple of the sum of its prime divisors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32985989) 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 15 ways as a sum of consecutive naturals, for example, 202287 + ... + 202449.

It is an arithmetic number, because the mean of its divisors is an integer number (752760).

Almost surely, 2^32985984 is an apocalyptic number.

32985984 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32985984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48176640).

32985984 is an abundant number, since it is smaller than the sum of its proper divisors (63367296).

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

32985984 is a wasteful number, since it uses less digits than its factorization.

32985984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 216 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 32985984 is about 5743.3425807625. The cubic root of 32985984 is about 320.7080156587.

The spelling of 32985984 in words is "thirty-two million, nine hundred eighty-five thousand, nine hundred eighty-four".