19481120 has 48 divisors (see below), whose sum is σ = 46289880. Its totient is φ = 7747584.

The previous prime is 19481101. The next prime is 19481123. The reversal of 19481120 is 2118491.

It can be written as a sum of positive squares in 4 ways, for example, as 6492304 + 12988816 = 2548^2 + 3604^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 19481120.

It is not an unprimeable number, because it can be changed into a prime (19481123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49886 + ... + 50274.

Almost surely, 2^19481120 is an apocalyptic number.

19481120 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 19481120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23144940).

19481120 is an abundant number, since it is smaller than the sum of its proper divisors (26808760).

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

19481120 is a wasteful number, since it uses less digits than its factorization.

19481120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 26.

The square root of 19481120 is about 4413.7421764303. The cubic root of 19481120 is about 269.0737349864.

The spelling of 19481120 in words is "nineteen million, four hundred eighty-one thousand, one hundred twenty".