850919040 has 256 divisors, whose sum is σ = 3146169600. Its totient is φ = 216944640.

The previous prime is 850918997. The next prime is 850919059. The reversal of 850919040 is 40919058.

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

It is a junction number, because it is equal to n+sod(n) for n = 850918986 and 850919004.

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 31 ways as a sum of consecutive naturals, for example, 396370 + ... + 398510.

It is an arithmetic number, because the mean of its divisors is an integer number (12289725).

Almost surely, 2^850919040 is an apocalyptic number.

850919040 is a gapful number since it is divisible by the number (80) 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 850919040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1573084800).

850919040 is an abundant number, since it is smaller than the sum of its proper divisors (2295250560).

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

850919040 is a wasteful number, since it uses less digits than its factorization.

850919040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2192 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 850919040 is about 29170.5166220964. The cubic root of 850919040 is about 947.6095171177.

The spelling of 850919040 in words is "eight hundred fifty million, nine hundred nineteen thousand, forty".