1104768000 has 528 divisors, whose sum is σ = 4583052864. Its totient is φ = 250675200.

The previous prime is 1104767999. The next prime is 1104768013. The reversal of 1104768000 is 8674011.

It is a happy number.

1104768000 is a `hidden beast` number, since 110 + 476 + 80 + 0 + 0 = 666.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8063932 + ... + 8064068.

Almost surely, 2^1104768000 is an apocalyptic number.

1104768000 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 1104768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291526432).

1104768000 is an abundant number, since it is smaller than the sum of its proper divisors (3478284864).

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

1104768000 is a wasteful number, since it uses less digits than its factorization.

1104768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1104768000 is about 33238.0504843470. The cubic root of 1104768000 is about 1033.7694540168.

The spelling of 1104768000 in words is "one billion, one hundred four million, seven hundred sixty-eight thousand".