1126096560 has 320 divisors, whose sum is σ = 4264012800. Its totient is φ = 271890432.

The previous prime is 1126096553. The next prime is 1126096589. The reversal of 1126096560 is 656906211.

1126096560 is a `hidden beast` number, since 1 + 1 + 2 + 6 + 0 + 96 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 943324 + ... + 944516.

It is an arithmetic number, because the mean of its divisors is an integer number (13325040).

Almost surely, 2^1126096560 is an apocalyptic number.

1126096560 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 1126096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132006400).

1126096560 is an abundant number, since it is smaller than the sum of its proper divisors (3137916240).

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

1126096560 is a wasteful number, since it uses less digits than its factorization.

1126096560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1126096560 is about 33557.3622324521. The cubic root of 1126096560 is about 1040.3797183447.

The spelling of 1126096560 in words is "one billion, one hundred twenty-six million, ninety-six thousand, five hundred sixty".