1100816640 has 864 divisors, whose sum is σ = 5096722176. Its totient is φ = 212336640.

The previous prime is 1100816611. The next prime is 1100816653. The reversal of 1100816640 is 466180011.

1100816640 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 8 + 16 + 640 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079644 + ... + 15079716.

It is an arithmetic number, because the mean of its divisors is an integer number (5898984).

Almost surely, 2^1100816640 is an apocalyptic number.

1100816640 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 1100816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548361088).

1100816640 is an abundant number, since it is smaller than the sum of its proper divisors (3995905536).

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

1100816640 is a wasteful number, since it uses less digits than its factorization.

1100816640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1100816640 is about 33178.5569306442. The cubic root of 1100816640 is about 1032.5355071851.

Adding to 1100816640 its reverse (466180011), we get a palindrome (1566996651).

The spelling of 1100816640 in words is "one billion, one hundred million, eight hundred sixteen thousand, six hundred forty".