32802816 has 96 divisors (see below), whose sum is σ = 92383200. Its totient is φ = 10321920.

The previous prime is 32802779. The next prime is 32802817. The reversal of 32802816 is 61820823.

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

It is not an unprimeable number, because it can be changed into a prime (32802817) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116596 + ... + 116876.

It is an arithmetic number, because the mean of its divisors is an integer number (962325).

Almost surely, 2^32802816 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 32802816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46191600).

32802816 is an abundant number, since it is smaller than the sum of its proper divisors (59580384).

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

32802816 is a wasteful number, since it uses less digits than its factorization.

32802816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 305 counting only the distinct ones).

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

The square root of 32802816 is about 5727.3742674982. The cubic root of 32802816 is about 320.1132932181.

The spelling of 32802816 in words is "thirty-two million, eight hundred two thousand, eight hundred sixteen".