827681004 has 60 divisors (see below), whose sum is σ = 2171660568. Its totient is φ = 274881600.

The previous prime is 827681003. The next prime is 827681011. The reversal of 827681004 is 400186728.

827681004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 827681004.

It is not an unprimeable number, because it can be changed into a prime (827681003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86499 + ... + 95589.

Almost surely, 2^827681004 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 827681004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085830284).

827681004 is an abundant number, since it is smaller than the sum of its proper divisors (1343979564).

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

827681004 is a wasteful number, since it uses less digits than its factorization.

827681004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9388 (or 9377 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 827681004 is about 28769.4456672352. The cubic root of 827681004 is about 938.9035820526.

The spelling of 827681004 in words is "eight hundred twenty-seven million, six hundred eighty-one thousand, four".