19788480 has 84 divisors (see below), whose sum is σ = 68074032. Its totient is φ = 5276160.

The previous prime is 19788479. The next prime is 19788499. The reversal of 19788480 is 8488791.

19788480 is a `hidden beast` number, since 1 + 97 + 88 + 480 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556 + ... + 6315.

Almost surely, 2^19788480 is an apocalyptic number.

19788480 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 19788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34037016).

19788480 is an abundant number, since it is smaller than the sum of its proper divisors (48285552).

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

19788480 is a wasteful number, since it uses less digits than its factorization.

19788480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6894 (or 6881 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 19788480 is about 4448.4244401810. The cubic root of 19788480 is about 270.4814455357.

The spelling of 19788480 in words is "nineteen million, seven hundred eighty-eight thousand, four hundred eighty".