1126832616 has 288 divisors, whose sum is σ = 3884025600. Its totient is φ = 292481280.

The previous prime is 1126832593. The next prime is 1126832617. The reversal of 1126832616 is 6162386211.

It is a happy number.

1126832616 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 8 + 32 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (1126832617) 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 71 ways as a sum of consecutive naturals, for example, 3623101 + ... + 3623411.

It is an arithmetic number, because the mean of its divisors is an integer number (13486200).

Almost surely, 2^1126832616 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 1126832616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942012800).

1126832616 is an abundant number, since it is smaller than the sum of its proper divisors (2757192984).

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

1126832616 is a wasteful number, since it uses less digits than its factorization.

1126832616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 415 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1126832616 is about 33568.3275722816. The cubic root of 1126832616 is about 1040.6063451354.

The spelling of 1126832616 in words is "one billion, one hundred twenty-six million, eight hundred thirty-two thousand, six hundred sixteen".