1126978560 has 264 divisors, whose sum is σ = 4016557896. Its totient is φ = 291962880.

The previous prime is 1126978553. The next prime is 1126978561. The reversal of 1126978560 is 658796211.

1126978560 is a `hidden beast` number, since 1 + 12 + 6 + 9 + 78 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 474891264 + 652087296 = 21792^2 + 25536^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1126978561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1704630 + ... + 1705290.

Almost surely, 2^1126978560 is an apocalyptic number.

1126978560 is a gapful number since it is divisible by the number (10) 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 1126978560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2008278948).

1126978560 is an abundant number, since it is smaller than the sum of its proper divisors (2889579336).

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

1126978560 is a wasteful number, since it uses less digits than its factorization.

1126978560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1126978560 is about 33570.5013367391. The cubic root of 1126978560 is about 1040.6512686062.

The spelling of 1126978560 in words is "one billion, one hundred twenty-six million, nine hundred seventy-eight thousand, five hundred sixty".