1112556960 has 144 divisors (see below), whose sum is σ = 3839701320. Its totient is φ = 293314560.

The previous prime is 1112556941. The next prime is 1112556961. The reversal of 1112556960 is 696552111.

1112556960 is a `hidden beast` number, since 1 + 1 + 12 + 556 + 96 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 899280144 + 213276816 = 29988^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (1112556961) 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, 123820 + ... + 132500.

Almost surely, 2^1112556960 is an apocalyptic number.

1112556960 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 1112556960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919850660).

1112556960 is an abundant number, since it is smaller than the sum of its proper divisors (2727144360).

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

1112556960 is a wasteful number, since it uses less digits than its factorization.

1112556960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8780 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1112556960 is about 33355.0140158867. The cubic root of 1112556960 is about 1036.1932327905.

The spelling of 1112556960 in words is "one billion, one hundred twelve million, five hundred fifty-six thousand, nine hundred sixty".