99827712 has 90 divisors (see below), whose sum is σ = 288808338. Its totient is φ = 33226752.

The previous prime is 99827711. The next prime is 99827731. The reversal of 99827712 is 21772899.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 147456 = 9984^2 + 384^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99827711) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147118 + ... + 147794.

Almost surely, 2^99827712 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 99827712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144404169).

99827712 is an abundant number, since it is smaller than the sum of its proper divisors (188980626).

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

99827712 is an equidigital number, since it uses as much as digits as its factorization.

99827712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 682 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 99827712 is about 9991.3818864059. The cubic root of 99827712 is about 463.8921667767.

The spelling of 99827712 in words is "ninety-nine million, eight hundred twenty-seven thousand, seven hundred twelve".