850082688 has 640 divisors, whose sum is σ = 3358998720. Its totient is φ = 207028224.

The previous prime is 850082677. The next prime is 850082689. The reversal of 850082688 is 886280058.

850082688 is a `hidden beast` number, since 8 + 500 + 82 + 68 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850082689) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16039270 + ... + 16039322.

Almost surely, 2^850082688 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 850082688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679499360).

850082688 is an abundant number, since it is smaller than the sum of its proper divisors (2508916032).

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

850082688 is a wasteful number, since it uses less digits than its factorization.

850082688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 850082688 is about 29156.1775272411. The cubic root of 850082688 is about 947.2989529413.

The spelling of 850082688 in words is "eight hundred fifty million, eighty-two thousand, six hundred eighty-eight".