827656104 has 128 divisors (see below), whose sum is σ = 2431918080. Its totient is φ = 232108800.

The previous prime is 827656103. The next prime is 827656117. The reversal of 827656104 is 401656728.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (827656103) 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 31 ways as a sum of consecutive naturals, for example, 186034 + ... + 190430.

It is an arithmetic number, because the mean of its divisors is an integer number (18999360).

Almost surely, 2^827656104 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 827656104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215959040).

827656104 is an abundant number, since it is smaller than the sum of its proper divisors (1604261976).

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

827656104 is a wasteful number, since it uses less digits than its factorization.

827656104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4471 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 827656104 is about 28769.0129132023. The cubic root of 827656104 is about 938.8941666161.

The spelling of 827656104 in words is "eight hundred twenty-seven million, six hundred fifty-six thousand, one hundred four".