1126671168 has 112 divisors (see below), whose sum is σ = 3455115264. Its totient is φ = 317345280.

The previous prime is 1126671167. The next prime is 1126671173. The reversal of 1126671168 is 8611766211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126671163) 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, 89521 + ... + 101327.

Almost surely, 2^1126671168 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 1126671168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727557632).

1126671168 is an abundant number, since it is smaller than the sum of its proper divisors (2328444096).

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

1126671168 is a wasteful number, since it uses less digits than its factorization.

1126671168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11900 (or 11890 counting only the distinct ones).

The product of its digits is 24192, while the sum is 39.

The square root of 1126671168 is about 33565.9227193295. The cubic root of 1126671168 is about 1040.5566448116.

The spelling of 1126671168 in words is "one billion, one hundred twenty-six million, six hundred seventy-one thousand, one hundred sixty-eight".