849001216 has 216 divisors, whose sum is σ = 2192067360. Its totient is φ = 319979520.

The previous prime is 849001201. The next prime is 849001217. The reversal of 849001216 is 612100948.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (849001217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27387121 + ... + 27387151.

It is an arithmetic number, because the mean of its divisors is an integer number (10148460).

Almost surely, 2^849001216 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 849001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096033680).

849001216 is an abundant number, since it is smaller than the sum of its proper divisors (1343066144).

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

849001216 is a wasteful number, since it uses less digits than its factorization.

849001216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 849001216 is about 29137.6254351654. The cubic root of 849001216 is about 946.8970657444.

The spelling of 849001216 in words is "eight hundred forty-nine million, one thousand, two hundred sixteen".