849867648 has 128 divisors (see below), whose sum is σ = 2589527040. Its totient is φ = 241920000.

The previous prime is 849867647. The next prime is 849867661. The reversal of 849867648 is 846768948.

849867648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 849867591 and 849867600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849867643) 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, 1131273 + ... + 1132023.

It is an arithmetic number, because the mean of its divisors is an integer number (20230680).

Almost surely, 2^849867648 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 849867648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294763520).

849867648 is an abundant number, since it is smaller than the sum of its proper divisors (1739659392).

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

849867648 is a wasteful number, since it uses less digits than its factorization.

849867648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1184 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 849867648 is about 29152.4895677882. The cubic root of 849867648 is about 947.2190688120.

The spelling of 849867648 in words is "eight hundred forty-nine million, eight hundred sixty-seven thousand, six hundred forty-eight".