850640640 has 288 divisors, whose sum is σ = 2913926400. Its totient is φ = 210862080.

The previous prime is 850640633. The next prime is 850640647. The reversal of 850640640 is 46046058.

It is a happy number.

850640640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (850640633) and next prime (850640647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (850640647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6493375 + ... + 6493505.

It is an arithmetic number, because the mean of its divisors is an integer number (10117800).

Almost surely, 2^850640640 is an apocalyptic number.

850640640 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 850640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456963200).

850640640 is an abundant number, since it is smaller than the sum of its proper divisors (2063285760).

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

850640640 is a wasteful number, since it uses less digits than its factorization.

850640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 850640640 is about 29165.7442901771. The cubic root of 850640640 is about 947.5061609214.

Adding to 850640640 its reverse (46046058), we get a palindrome (896686698).

The spelling of 850640640 in words is "eight hundred fifty million, six hundred forty thousand, six hundred forty".