1126344960 has 576 divisors, whose sum is σ = 4532774400. Its totient is φ = 262766592.

The previous prime is 1126344953. The next prime is 1126344971. The reversal of 1126344960 is 694436211.

1126344960 is a `hidden beast` number, since 1 + 12 + 634 + 4 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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, 10333386 + ... + 10333494.

It is an arithmetic number, because the mean of its divisors is an integer number (7869400).

Almost surely, 2^1126344960 is an apocalyptic number.

1126344960 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 1126344960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266387200).

1126344960 is an abundant number, since it is smaller than the sum of its proper divisors (3406429440).

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

1126344960 is a wasteful number, since it uses less digits than its factorization.

1126344960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1126344960 is about 33561.0631536011. The cubic root of 1126344960 is about 1040.4562101044.

The spelling of 1126344960 in words is "one billion, one hundred twenty-six million, three hundred forty-four thousand, nine hundred sixty".