1126985760 has 288 divisors, whose sum is σ = 4288152960. Its totient is φ = 267853824.

The previous prime is 1126985747. The next prime is 1126985801. The reversal of 1126985760 is 675896211.

1126985760 is a `hidden beast` number, since 1 + 12 + 69 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463909 + ... + 466331.

It is an arithmetic number, because the mean of its divisors is an integer number (14889420).

Almost surely, 2^1126985760 is an apocalyptic number.

1126985760 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 1126985760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144076480).

1126985760 is an abundant number, since it is smaller than the sum of its proper divisors (3161167200).

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

1126985760 is a wasteful number, since it uses less digits than its factorization.

1126985760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2469 counting only the distinct ones).

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

The square root of 1126985760 is about 33570.6085735722. The cubic root of 1126985760 is about 1040.6534847599.

The spelling of 1126985760 in words is "one billion, one hundred twenty-six million, nine hundred eighty-five thousand, seven hundred sixty".