27822042 has 96 divisors (see below), whose sum is σ = 69189120. Its totient is φ = 8339760.

The previous prime is 27822037. The next prime is 27822059. The reversal of 27822042 is 24022872.

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

It is a junction number, because it is equal to n+sod(n) for n = 27821997 and 27822015.

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 47 ways as a sum of consecutive naturals, for example, 212317 + ... + 212447.

It is an arithmetic number, because the mean of its divisors is an integer number (720720).

Almost surely, 2^27822042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27822042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34594560).

27822042 is an abundant number, since it is smaller than the sum of its proper divisors (41367078).

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

27822042 is a wasteful number, since it uses less digits than its factorization.

27822042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 27822042 is about 5274.6603682133. The cubic root of 27822042 is about 303.0142136259.

The spelling of 27822042 in words is "twenty-seven million, eight hundred twenty-two thousand, forty-two".