827292096 has 112 divisors (see below), whose sum is σ = 2491618080. Its totient is φ = 269015040.

The previous prime is 827292061. The next prime is 827292107. The reversal of 827292096 is 690292728.

827292096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65010 + ... + 76686.

It is an arithmetic number, because the mean of its divisors is an integer number (22246590).

Almost surely, 2^827292096 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 827292096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245809040).

827292096 is an abundant number, since it is smaller than the sum of its proper divisors (1664325984).

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

827292096 is a wasteful number, since it uses less digits than its factorization.

827292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11739 (or 11723 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 827292096 is about 28762.6858273006. The cubic root of 827292096 is about 938.7565027153.

The spelling of 827292096 in words is "eight hundred twenty-seven million, two hundred ninety-two thousand, ninety-six".