844605216 has 432 divisors, whose sum is σ = 3098257344. Its totient is φ = 213497856.

The previous prime is 844605173. The next prime is 844605217. The reversal of 844605216 is 612506448.

844605216 is a `hidden beast` number, since 8 + 44 + 605 + 2 + 1 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (844605217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12606015 + ... + 12606081.

It is an arithmetic number, because the mean of its divisors is an integer number (7171892).

Almost surely, 2^844605216 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 844605216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549128672).

844605216 is an abundant number, since it is smaller than the sum of its proper divisors (2253652128).

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

844605216 is a wasteful number, since it uses less digits than its factorization.

844605216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 129 counting only the distinct ones).

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

The square root of 844605216 is about 29062.0924229485. The cubic root of 844605216 is about 945.2599402497.

It can be divided in two parts, 84460 and 5216, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 844605216 in words is "eight hundred forty-four million, six hundred five thousand, two hundred sixteen".