32805216 has 96 divisors (see below), whose sum is σ = 98017920. Its totient is φ = 10668672.

The previous prime is 32805211. The next prime is 32805247. The reversal of 32805216 is 61250823.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 32805216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32805211) 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 15 ways as a sum of consecutive naturals, for example, 36711 + ... + 37593.

It is an arithmetic number, because the mean of its divisors is an integer number (1021020).

Almost surely, 2^32805216 is an apocalyptic number.

32805216 is a gapful number since it is divisible by the number (36) 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 32805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49008960).

32805216 is an abundant number, since it is smaller than the sum of its proper divisors (65212704).

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

32805216 is a wasteful number, since it uses less digits than its factorization.

32805216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 32805216 is about 5727.5837837608. The cubic root of 32805216 is about 320.1210999988.

The spelling of 32805216 in words is "thirty-two million, eight hundred five thousand, two hundred sixteen".