827343648 has 36 divisors (see below), whose sum is σ = 2352759318. Its totient is φ = 275781120.

The previous prime is 827343631. The next prime is 827343653. The reversal of 827343648 is 846343728.

It can be written as a sum of positive squares in only one way, i.e., 823230864 + 4112784 = 28692^2 + 2028^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1436073 + ... + 1436648.

Almost surely, 2^827343648 is an apocalyptic number.

It is an amenable number.

827343648 is an abundant number, since it is smaller than the sum of its proper divisors (1525415670).

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

827343648 is a wasteful number, since it uses less digits than its factorization.

827343648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2872737 (or 2872726 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 827343648 is about 28763.5819744343. The cubic root of 827343648 is about 938.7760015800.

The spelling of 827343648 in words is "eight hundred twenty-seven million, three hundred forty-three thousand, six hundred forty-eight".