1101540960 has 432 divisors, whose sum is σ = 4298649264. Its totient is φ = 255301632.

The previous prime is 1101540929. The next prime is 1101540961. The reversal of 1101540960 is 690451011.

1101540960 is a `hidden beast` number, since 110 + 1 + 540 + 9 + 6 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101540961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6757839 + ... + 6758001.

It is an arithmetic number, because the mean of its divisors is an integer number (9950577).

Almost surely, 2^1101540960 is an apocalyptic number.

1101540960 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 1101540960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149324632).

1101540960 is an abundant number, since it is smaller than the sum of its proper divisors (3197108304).

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

1101540960 is a wasteful number, since it uses less digits than its factorization.

1101540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 1101540960 is about 33189.4706194600. The cubic root of 1101540960 is about 1032.7619215636.

Adding to 1101540960 its reverse (690451011), we get a palindrome (1791991971).

It can be divided in two parts, 1101540 and 960, that added together give a square (1102500 = 1050²).

The spelling of 1101540960 in words is "one billion, one hundred one million, five hundred forty thousand, nine hundred sixty".