1126642176 has 320 divisors, whose sum is σ = 3771187200. Its totient is φ = 329011200.

The previous prime is 1126642171. The next prime is 1126642201. The reversal of 1126642176 is 6712466211.

1126642176 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 642 + 1 + 7 + 6 = 666.

1126642176 is nontrivially palindromic in base 15.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1126642176.

It is not an unprimeable number, because it can be changed into a prime (1126642171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4713865 + ... + 4714103.

It is an arithmetic number, because the mean of its divisors is an integer number (11784960).

Almost surely, 2^1126642176 is an apocalyptic number.

1126642176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126642176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885593600).

1126642176 is an abundant number, since it is smaller than the sum of its proper divisors (2644545024).

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

1126642176 is a wasteful number, since it uses less digits than its factorization.

1126642176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 286 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 1126642176 is about 33565.4908499786. The cubic root of 1126642176 is about 1040.5477193807.

The spelling of 1126642176 in words is "one billion, one hundred twenty-six million, six hundred forty-two thousand, one hundred seventy-six".