32806816 has 48 divisors (see below), whose sum is σ = 74342016. Its totient is φ = 13959936.

The previous prime is 32806811. The next prime is 32806831. The reversal of 32806816 is 61860823.

It is not an unprimeable number, because it can be changed into a prime (32806811) 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, 36970 + ... + 37846.

It is an arithmetic number, because the mean of its divisors is an integer number (1548792).

Almost surely, 2^32806816 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 32806816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37171008).

32806816 is an abundant number, since it is smaller than the sum of its proper divisors (41535200).

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

32806816 is a wasteful number, since it uses less digits than its factorization.

32806816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 32806816 is about 5727.7234570115. The cubic root of 32806816 is about 320.1263043077.

The spelling of 32806816 in words is "thirty-two million, eight hundred six thousand, eight hundred sixteen".