1104988800 has 384 divisors, whose sum is σ = 3885465600. Its totient is φ = 275558400.

The previous prime is 1104988771. The next prime is 1104988817. The reversal of 1104988800 is 88894011.

It is a happy number.

1104988800 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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, 13987161 + ... + 13987239.

It is an arithmetic number, because the mean of its divisors is an integer number (10118400).

Almost surely, 2^1104988800 is an apocalyptic number.

1104988800 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 1104988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942732800).

1104988800 is an abundant number, since it is smaller than the sum of its proper divisors (2780476800).

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

1104988800 is a wasteful number, since it uses less digits than its factorization.

1104988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 1104988800 is about 33241.3718128479. The cubic root of 1104988800 is about 1033.8383194832.

The spelling of 1104988800 in words is "one billion, one hundred four million, nine hundred eighty-eight thousand, eight hundred".