850099824 has 360 divisors, whose sum is σ = 3092815440. Its totient is φ = 215986176.

The previous prime is 850099777. The next prime is 850099837. The reversal of 850099824 is 428990058.

It is a self number, because there is not a number n which added to its sum of digits gives 850099824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2278902 + ... + 2279274.

It is an arithmetic number, because the mean of its divisors is an integer number (8591154).

Almost surely, 2^850099824 is an apocalyptic number.

850099824 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 850099824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546407720).

850099824 is an abundant number, since it is smaller than the sum of its proper divisors (2242715616).

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

850099824 is a wasteful number, since it uses less digits than its factorization.

850099824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 850099824 is about 29156.4713914424. The cubic root of 850099824 is about 947.3053181283.

The spelling of 850099824 in words is "eight hundred fifty million, ninety-nine thousand, eight hundred twenty-four".