1100085408 has 144 divisors (see below), whose sum is σ = 3387303360. Its totient is φ = 347296896.

The previous prime is 1100085379. The next prime is 1100085433. The reversal of 1100085408 is 8045800011.

1100085408 is a `hidden beast` number, since 110 + 0 + 0 + 8 + 540 + 8 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310141 + ... + 313667.

It is an arithmetic number, because the mean of its divisors is an integer number (23522940).

Almost surely, 2^1100085408 is an apocalyptic number.

1100085408 is a gapful number since it is divisible by the number (18) 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 1100085408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693651680).

1100085408 is an abundant number, since it is smaller than the sum of its proper divisors (2287217952).

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

1100085408 is a wasteful number, since it uses less digits than its factorization.

1100085408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3584 (or 3551 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1100085408 is about 33167.5354526079. The cubic root of 1100085408 is about 1032.3068314256.

Adding to 1100085408 its reverse (8045800011), we get a palindrome (9145885419).

The spelling of 1100085408 in words is "one billion, one hundred million, eighty-five thousand, four hundred eight".