19540224 has 144 divisors (see below), whose sum is σ = 63282240. Its totient is φ = 5898240.

The previous prime is 19540223. The next prime is 19540237. The reversal of 19540224 is 42204591.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (19540223) 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 15 ways as a sum of consecutive naturals, for example, 75904 + ... + 76160.

It is an arithmetic number, because the mean of its divisors is an integer number (439460).

Almost surely, 2^19540224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19540224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31641120).

19540224 is an abundant number, since it is smaller than the sum of its proper divisors (43742016).

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

19540224 is a wasteful number, since it uses less digits than its factorization.

19540224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 19540224 is about 4420.4325580196. The cubic root of 19540224 is about 269.3455755853.

The spelling of 19540224 in words is "nineteen million, five hundred forty thousand, two hundred twenty-four".