1126258560 has 256 divisors, whose sum is σ = 4559155200. Its totient is φ = 257402880.

The previous prime is 1126258559. The next prime is 1126258583. The reversal of 1126258560 is 658526211.

1126258560 is a `hidden beast` number, since 1 + 12 + 6 + 2 + 585 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116305 + ... + 125615.

It is an arithmetic number, because the mean of its divisors is an integer number (17809200).

Almost surely, 2^1126258560 is an apocalyptic number.

1126258560 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 1126258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279577600).

1126258560 is an abundant number, since it is smaller than the sum of its proper divisors (3432896640).

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

1126258560 is an equidigital number, since it uses as much as digits as its factorization.

1126258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9346 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1126258560 is about 33559.7759229706. The cubic root of 1126258560 is about 1040.4296055506.

The spelling of 1126258560 in words is "one billion, one hundred twenty-six million, two hundred fifty-eight thousand, five hundred sixty".