1113406560 has 288 divisors, whose sum is σ = 4504211712. Its totient is φ = 254430720.

The previous prime is 1113406559. The next prime is 1113406561. The reversal of 1113406560 is 656043111.

1113406560 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 4 + 0 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1113406559) and next prime (1113406561).

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1113406561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270115 + ... + 274205.

It is an arithmetic number, because the mean of its divisors is an integer number (15639624).

Almost surely, 2^1113406560 is an apocalyptic number.

1113406560 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 1113406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2252105856).

1113406560 is an abundant number, since it is smaller than the sum of its proper divisors (3390805152).

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

1113406560 is an equidigital number, since it uses as much as digits as its factorization.

1113406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4128 (or 4108 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1113406560 is about 33367.7473018482. The cubic root of 1113406560 is about 1036.4569273863.

Adding to 1113406560 its reverse (656043111), we get a palindrome (1769449671).

The spelling of 1113406560 in words is "one billion, one hundred thirteen million, four hundred six thousand, five hundred sixty".