19468638 has 96 divisors (see below), whose sum is σ = 52228800. Its totient is φ = 5114880.

The previous prime is 19468633. The next prime is 19468639. The reversal of 19468638 is 83686491.

19468638 is a `hidden beast` number, since 1 + 9 + 4 + 6 + 8 + 638 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19468593 and 19468602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19468633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130588 + ... + 130736.

It is an arithmetic number, because the mean of its divisors is an integer number (544050).

Almost surely, 2^19468638 is an apocalyptic number.

19468638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19468638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26114400).

19468638 is an abundant number, since it is smaller than the sum of its proper divisors (32760162).

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

19468638 is a wasteful number, since it uses less digits than its factorization.

19468638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 239 counting only the distinct ones).

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

The square root of 19468638 is about 4412.3279569860. The cubic root of 19468638 is about 269.0162554726.

The spelling of 19468638 in words is "nineteen million, four hundred sixty-eight thousand, six hundred thirty-eight".