849128976 has 60 divisors (see below), whose sum is σ = 2388772828. Its totient is φ = 281567232.

The previous prime is 849128963. The next prime is 849128977. The reversal of 849128976 is 679821948.

849128976 is a `hidden beast` number, since 8 + 491 + 2 + 89 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182250000 + 666878976 = 13500^2 + 25824^2 .

It is not an unprimeable number, because it can be changed into a prime (849128977) 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 11 ways as a sum of consecutive naturals, for example, 12516 + ... + 43068.

Almost surely, 2^849128976 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 849128976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194386414).

849128976 is an abundant number, since it is smaller than the sum of its proper divisors (1539643852).

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

849128976 is a wasteful number, since it uses less digits than its factorization.

849128976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30760 (or 30751 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 849128976 is about 29139.8177070482. The cubic root of 849128976 is about 946.9445605728.

The spelling of 849128976 in words is "eight hundred forty-nine million, one hundred twenty-eight thousand, nine hundred seventy-six".