1100004880 has 80 divisors (see below), whose sum is σ = 2792165040. Its totient is φ = 400564224.

The previous prime is 1100004803. The next prime is 1100004889. The reversal of 1100004880 is 884000011.

It can be written as a sum of positive squares in 8 ways, for example, as 191102976 + 908901904 = 13824^2 + 30148^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1100004889) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 68676 + ... + 83164.

It is an arithmetic number, because the mean of its divisors is an integer number (34902063).

Almost surely, 2^1100004880 is an apocalyptic number.

1100004880 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 1100004880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396082520).

1100004880 is an abundant number, since it is smaller than the sum of its proper divisors (1692160160).

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

1100004880 is a wasteful number, since it uses less digits than its factorization.

1100004880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 14582 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 1100004880 is about 33166.3214722405. The cubic root of 1100004880 is about 1032.2816419774.

Adding to 1100004880 its reverse (884000011), we get a palindrome (1984004891).

The spelling of 1100004880 in words is "one billion, one hundred million, four thousand, eight hundred eighty".