19440960 has 224 divisors, whose sum is σ = 77248512. Its totient is φ = 4024320.

The previous prime is 19440959. The next prime is 19440973. The reversal of 19440960 is 6904491.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73789 + ... + 74051.

Almost surely, 2^19440960 is an apocalyptic number.

19440960 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 19440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38624256).

19440960 is an abundant number, since it is smaller than the sum of its proper divisors (57807552).

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

19440960 is a wasteful number, since it uses less digits than its factorization.

19440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 19440960 is about 4409.1904018765. The cubic root of 19440960 is about 268.8887107993. Note that the first 3 decimals are identical.

It can be divided in two parts, 19440 and 960, that multiplied together give a square (18662400 = 4320²).

The spelling of 19440960 in words is "nineteen million, four hundred forty thousand, nine hundred sixty".