27782016 has 64 divisors (see below), whose sum is σ = 74908800. Its totient is φ = 9121280.

The previous prime is 27782003. The next prime is 27782021. The reversal of 27782016 is 61028772.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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, 26755 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (1170450).

Almost surely, 2^27782016 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 27782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454400).

27782016 is an abundant number, since it is smaller than the sum of its proper divisors (47126784).

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

27782016 is a wasteful number, since it uses less digits than its factorization.

27782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 33.

The square root of 27782016 is about 5270.8648246754. The cubic root of 27782016 is about 302.8688340771.

Subtracting 27782016 from its reverse (61028772), we obtain a square (33246756 = 5766²).

The spelling of 27782016 in words is "twenty-seven million, seven hundred eighty-two thousand, sixteen".