1109540960 has 144 divisors (see below), whose sum is σ = 2905435008. Its totient is φ = 400097280.

The previous prime is 1109540917. The next prime is 1109540963. The reversal of 1109540960 is 690459011.

It is a super-2 number, since 2×1109540960² = 2462162283835443200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1109540960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109540963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4317152 + ... + 4317408.

It is an arithmetic number, because the mean of its divisors is an integer number (20176632).

Almost surely, 2^1109540960 is an apocalyptic number.

1109540960 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 1109540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452717504).

1109540960 is an abundant number, since it is smaller than the sum of its proper divisors (1795894048).

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

1109540960 is a wasteful number, since it uses less digits than its factorization.

1109540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 35.

The square root of 1109540960 is about 33309.7727401434. The cubic root of 1109540960 is about 1035.2560561988.

Adding to 1109540960 its reverse (690459011), we get a palindrome (1799999971).

The spelling of 1109540960 in words is "one billion, one hundred nine million, five hundred forty thousand, nine hundred sixty".