19488960 has 168 divisors, whose sum is σ = 68708016. Its totient is φ = 5068800.

The previous prime is 19488943. The next prime is 19488967. The reversal of 19488960 is 6988491.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (19488967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192910 + ... + 193010.

Almost surely, 2^19488960 is an apocalyptic number.

19488960 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 19488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354008).

19488960 is an abundant number, since it is smaller than the sum of its proper divisors (49219056).

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

19488960 is a wasteful number, since it uses less digits than its factorization.

19488960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19488960 is about 4414.6302223403. The cubic root of 19488960 is about 269.1098255733.

The spelling of 19488960 in words is "nineteen million, four hundred eighty-eight thousand, nine hundred sixty".