1104082560 has 384 divisors, whose sum is σ = 4410806400. Its totient is φ = 249274368.

The previous prime is 1104082559. The next prime is 1104082583. The reversal of 1104082560 is 652804011.

1104082560 is a `hidden beast` number, since 1 + 1 + 0 + 408 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5604382 + ... + 5604578.

It is an arithmetic number, because the mean of its divisors is an integer number (11486475).

Almost surely, 2^1104082560 is an apocalyptic number.

1104082560 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 1104082560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205403200).

1104082560 is an abundant number, since it is smaller than the sum of its proper divisors (3306723840).

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

1104082560 is a wasteful number, since it uses less digits than its factorization.

1104082560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1104082560 is about 33227.7378104499. The cubic root of 1104082560 is about 1033.5556131833. Note that the first 3 decimals are identical.

Adding to 1104082560 its reverse (652804011), we get a palindrome (1756886571).

The spelling of 1104082560 in words is "one billion, one hundred four million, eighty-two thousand, five hundred sixty".