32805968 has 20 divisors (see below), whose sum is σ = 68451348. Its totient is φ = 15141120.

The previous prime is 32805961. The next prime is 32805977. The reversal of 32805968 is 86950823.

It can be written as a sum of positive squares in 2 ways, for example, as 16224784 + 16581184 = 4028^2 + 4072^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32805961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 78653 + ... + 79068.

Almost surely, 2^32805968 is an apocalyptic number.

It is an amenable number.

32805968 is an abundant number, since it is smaller than the sum of its proper divisors (35645380).

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

32805968 is a wasteful number, since it uses less digits than its factorization.

32805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157742 (or 157736 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 32805968 is about 5727.6494306129. The cubic root of 32805968 is about 320.1235460450.

The spelling of 32805968 in words is "thirty-two million, eight hundred five thousand, nine hundred sixty-eight".