827090208 has 432 divisors, whose sum is σ = 2957834880. Its totient is φ = 218115072.

The previous prime is 827090183. The next prime is 827090221. The reversal of 827090208 is 802090728.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17597641 + ... + 17597687.

It is an arithmetic number, because the mean of its divisors is an integer number (6846840).

Almost surely, 2^827090208 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 827090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478917440).

827090208 is an abundant number, since it is smaller than the sum of its proper divisors (2130744672).

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

827090208 is a wasteful number, since it uses less digits than its factorization.

827090208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 827090208 is about 28759.1760660837. The cubic root of 827090208 is about 938.6801334407.

The spelling of 827090208 in words is "eight hundred twenty-seven million, ninety thousand, two hundred eight".