1105584480 has 864 divisors, whose sum is σ = 5179749120. Its totient is φ = 208465920.

The previous prime is 1105584479. The next prime is 1105584503. The reversal of 1105584480 is 844855011.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18738691 + ... + 18738749.

It is an arithmetic number, because the mean of its divisors is an integer number (5995080).

Almost surely, 2^1105584480 is an apocalyptic number.

1105584480 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 1105584480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589874560).

1105584480 is an abundant number, since it is smaller than the sum of its proper divisors (4074164640).

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

1105584480 is a wasteful number, since it uses less digits than its factorization.

1105584480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1105584480 is about 33250.3305246730. The cubic root of 1105584480 is about 1034.0240607869.

It can be divided in two parts, 1105 and 584480, that added together give a palindrome (585585).

The spelling of 1105584480 in words is "one billion, one hundred five million, five hundred eighty-four thousand, four hundred eighty".