32966016 has 48 divisors (see below), whose sum is σ = 87865860. Its totient is φ = 10951168.

The previous prime is 32965991. The next prime is 32966033. The reversal of 32966016 is 61066923.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112366 + ... + 112658.

Almost surely, 2^32966016 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 32966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43932930).

32966016 is an abundant number, since it is smaller than the sum of its proper divisors (54899844).

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

32966016 is an frugal number, since it uses more digits than its factorization.

32966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 32966016 is about 5741.6039570838. The cubic root of 32966016 is about 320.6432892759.

The spelling of 32966016 in words is "thirty-two million, nine hundred sixty-six thousand, sixteen".