827144604 has 288 divisors, whose sum is σ = 2606542848. Its totient is φ = 217728000.

The previous prime is 827144597. The next prime is 827144621. The reversal of 827144604 is 406441728.

827144604 is a `hidden beast` number, since 8 + 2 + 7 + 1 + 44 + 604 = 666.

827144604 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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11330712 + ... + 11330784.

It is an arithmetic number, because the mean of its divisors is an integer number (9050496).

Almost surely, 2^827144604 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 827144604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303271424).

827144604 is an abundant number, since it is smaller than the sum of its proper divisors (1779398244).

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

827144604 is a wasteful number, since it uses less digits than its factorization.

827144604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 827144604 is about 28760.1217660844. The cubic root of 827144604 is about 938.7007113352.

The spelling of 827144604 in words is "eight hundred twenty-seven million, one hundred forty-four thousand, six hundred four".