850216644 has 72 divisors (see below), whose sum is σ = 2201472000. Its totient is φ = 276591744.

The previous prime is 850216637. The next prime is 850216649. The reversal of 850216644 is 446612058.

850216644 is a `hidden beast` number, since 8 + 5 + 0 + 2 + 1 + 6 + 644 = 666.

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 = 850216599 and 850216608.

It is not an unprimeable number, because it can be changed into a prime (850216649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251437 + ... + 254795.

It is an arithmetic number, because the mean of its divisors is an integer number (30576000).

Almost surely, 2^850216644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 850216644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100736000).

850216644 is an abundant number, since it is smaller than the sum of its proper divisors (1351255356).

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

850216644 is a wasteful number, since it uses less digits than its factorization.

850216644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3537 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 850216644 is about 29158.4746514628. The cubic root of 850216644 is about 947.3487087731.

It can be divided in two parts, 850216 and 644, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 850216644 in words is "eight hundred fifty million, two hundred sixteen thousand, six hundred forty-four".