19488816 has 80 divisors (see below), whose sum is σ = 56469600. Its totient is φ = 6435072.

The previous prime is 19488809. The next prime is 19488827. The reversal of 19488816 is 61888491.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84990 + ... + 85218.

It is an arithmetic number, because the mean of its divisors is an integer number (705870).

Almost surely, 2^19488816 is an apocalyptic number.

19488816 is a gapful number since it is divisible by the number (16) 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 19488816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28234800).

19488816 is an abundant number, since it is smaller than the sum of its proper divisors (36980784).

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

19488816 is a wasteful number, since it uses less digits than its factorization.

19488816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 19488816 is about 4414.6139129034. The cubic root of 19488816 is about 269.1091627722.

The spelling of 19488816 in words is "nineteen million, four hundred eighty-eight thousand, eight hundred sixteen".