850761648 has 180 divisors, whose sum is σ = 2642216304. Its totient is φ = 255340800.

The previous prime is 850761641. The next prime is 850761679. The reversal of 850761648 is 846167058.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (850761641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2735413 + ... + 2735723.

Almost surely, 2^850761648 is an apocalyptic number.

850761648 is a gapful number since it is divisible by the number (88) 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 850761648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321108152).

850761648 is an abundant number, since it is smaller than the sum of its proper divisors (1791454656).

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

850761648 is a wasteful number, since it uses less digits than its factorization.

850761648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 850761648 is about 29167.8187048672. The cubic root of 850761648 is about 947.5510879971.

The spelling of 850761648 in words is "eight hundred fifty million, seven hundred sixty-one thousand, six hundred forty-eight".