849221568 has 336 divisors, whose sum is σ = 2840248320. Its totient is φ = 240371712.

The previous prime is 849221551. The next prime is 849221591. The reversal of 849221568 is 865122948.

849221568 is a `hidden beast` number, since 8 + 492 + 2 + 156 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6686721 + ... + 6686847.

It is an arithmetic number, because the mean of its divisors is an integer number (8453120).

Almost surely, 2^849221568 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 849221568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420124160).

849221568 is an abundant number, since it is smaller than the sum of its proper divisors (1991026752).

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

849221568 is a wasteful number, since it uses less digits than its factorization.

849221568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 849221568 is about 29141.4064176731. The cubic root of 849221568 is about 946.9789787066.

The spelling of 849221568 in words is "eight hundred forty-nine million, two hundred twenty-one thousand, five hundred sixty-eight".