850528224 has 576 divisors, whose sum is σ = 3328625664. Its totient is φ = 199507968.

The previous prime is 850528181. The next prime is 850528229. The reversal of 850528224 is 422825058.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850528229) 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 95 ways as a sum of consecutive naturals, for example, 10247287 + ... + 10247369.

It is an arithmetic number, because the mean of its divisors is an integer number (5778864).

Almost surely, 2^850528224 is an apocalyptic number.

850528224 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850528224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664312832).

850528224 is an abundant number, since it is smaller than the sum of its proper divisors (2478097440).

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

850528224 is a wasteful number, since it uses less digits than its factorization.

850528224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 850528224 is about 29163.8170341264. The cubic root of 850528224 is about 947.4644200107.

The spelling of 850528224 in words is "eight hundred fifty million, five hundred twenty-eight thousand, two hundred twenty-four".