827811936 has 72 divisors (see below), whose sum is σ = 2690395344. Its totient is φ = 236517120.

The previous prime is 827811899. The next prime is 827811937. The reversal of 827811936 is 639118728.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 827811891 and 827811900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827811937) 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 11 ways as a sum of consecutive naturals, for example, 203295 + ... + 207326.

It is an arithmetic number, because the mean of its divisors is an integer number (37366602).

Almost surely, 2^827811936 is an apocalyptic number.

It is an amenable number.

827811936 is an abundant number, since it is smaller than the sum of its proper divisors (1862583408).

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

827811936 is a wasteful number, since it uses less digits than its factorization.

827811936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410644 (or 410633 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 827811936 is about 28771.7211164018. The cubic root of 827811936 is about 938.9530882599.

The spelling of 827811936 in words is "eight hundred twenty-seven million, eight hundred eleven thousand, nine hundred thirty-six".