849235968 has 208 divisors, whose sum is σ = 2877989760. Its totient is φ = 242417664.

The previous prime is 849235967. The next prime is 849235991. The reversal of 849235968 is 869532948.

849235968 is a `hidden beast` number, since 8 + 49 + 2 + 3 + 596 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849235963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773596 + ... + 774692.

Almost surely, 2^849235968 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 849235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438994880).

849235968 is an abundant number, since it is smaller than the sum of its proper divisors (2028753792).

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

849235968 is a wasteful number, since it uses less digits than its factorization.

849235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 1109 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 849235968 is about 29141.6534877484. The cubic root of 849235968 is about 946.9843312242.

The spelling of 849235968 in words is "eight hundred forty-nine million, two hundred thirty-five thousand, nine hundred sixty-eight".