827724216 has 96 divisors (see below), whose sum is σ = 2313561600. Its totient is φ = 246523200.

The previous prime is 827724199. The next prime is 827724217. The reversal of 827724216 is 612427728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827724217) 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 23 ways as a sum of consecutive naturals, for example, 168921 + ... + 173751.

It is an arithmetic number, because the mean of its divisors is an integer number (24099600).

Almost surely, 2^827724216 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 827724216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156780800).

827724216 is an abundant number, since it is smaller than the sum of its proper divisors (1485837384).

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

827724216 is a wasteful number, since it uses less digits than its factorization.

827724216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921 (or 4906 counting only the distinct ones).

The product of its digits is 75264, while the sum is 39.

The square root of 827724216 is about 28770.1966625187. The cubic root of 827724216 is about 938.9199213569.

The spelling of 827724216 in words is "eight hundred twenty-seven million, seven hundred twenty-four thousand, two hundred sixteen".