849661176 has 192 divisors, whose sum is σ = 2686068000. Its totient is φ = 221985792.

The previous prime is 849661129. The next prime is 849661177. The reversal of 849661176 is 671166948.

It is a happy number.

849661176 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×849661176² = 1443848228003405952, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (849661177) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2277726 + ... + 2278098.

Almost surely, 2^849661176 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 849661176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1343034000).

849661176 is an abundant number, since it is smaller than the sum of its proper divisors (1836406824).

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

849661176 is a wasteful number, since it uses less digits than its factorization.

849661176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 849661176 is about 29148.9481113813. The cubic root of 849661176 is about 947.1423548844.

It can be divided in two parts, 84966 and 1176, that multiplied together give a square (99920016 = 9996²).

The spelling of 849661176 in words is "eight hundred forty-nine million, six hundred sixty-one thousand, one hundred seventy-six".