32820816 has 160 divisors (see below), whose sum is σ = 105136128. Its totient is φ = 8616960.

The previous prime is 32820803. The next prime is 32820817. The reversal of 32820816 is 61802823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32820817) 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 31 ways as a sum of consecutive naturals, for example, 239500 + ... + 239636.

Almost surely, 2^32820816 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 32820816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52568064).

32820816 is an abundant number, since it is smaller than the sum of its proper divisors (72315312).

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

32820816 is a wasteful number, since it uses less digits than its factorization.

32820816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 32820816 is about 5728.9454526990. The cubic root of 32820816 is about 320.1718347943.

The spelling of 32820816 in words is "thirty-two million, eight hundred twenty thousand, eight hundred sixteen".