19863648 has 144 divisors (see below), whose sum is σ = 66044160. Its totient is φ = 5545728.

The previous prime is 19863647. The next prime is 19863659. The reversal of 19863648 is 84636891.

19863648 is a `hidden beast` number, since 1 + 9 + 8 + 636 + 4 + 8 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19863647) 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, 118861 + ... + 119027.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^19863648 is an apocalyptic number.

19863648 is a gapful number since it is divisible by the number (18) 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 19863648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33022080).

19863648 is an abundant number, since it is smaller than the sum of its proper divisors (46180512).

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

19863648 is a wasteful number, since it uses less digits than its factorization.

19863648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 238 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 19863648 is about 4456.8652660811. The cubic root of 19863648 is about 270.8234940383.

The spelling of 19863648 in words is "nineteen million, eight hundred sixty-three thousand, six hundred forty-eight".