827712018 has 144 divisors (see below), whose sum is σ = 2187005184. Its totient is φ = 225348480.

The previous prime is 827712013. The next prime is 827712019. The reversal of 827712018 is 810217728.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (827712013) 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 71 ways as a sum of consecutive naturals, for example, 1699371 + ... + 1699857.

It is an arithmetic number, because the mean of its divisors is an integer number (15187536).

Almost surely, 2^827712018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827712018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093502592).

827712018 is an abundant number, since it is smaller than the sum of its proper divisors (1359293166).

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

827712018 is a wasteful number, since it uses less digits than its factorization.

827712018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 827712018 is about 28769.9846715288. The cubic root of 827712018 is about 938.9153091116.

The spelling of 827712018 in words is "eight hundred twenty-seven million, seven hundred twelve thousand, eighteen".