19836128 has 48 divisors (see below), whose sum is σ = 43119216. Its totient is φ = 8924160.

The previous prime is 19836119. The next prime is 19836137. The reversal of 19836128 is 82163891.

It is an interprime number because it is at equal distance from previous prime (19836119) and next prime (19836137).

It is a junction number, because it is equal to n+sod(n) for n = 19836091 and 19836100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16475 + ... + 17637.

It is an arithmetic number, because the mean of its divisors is an integer number (898317).

Almost surely, 2^19836128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19836128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21559608).

19836128 is an abundant number, since it is smaller than the sum of its proper divisors (23283088).

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

19836128 is a wasteful number, since it uses less digits than its factorization.

19836128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1219 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 19836128 is about 4453.7768242246. The cubic root of 19836128 is about 270.6983658453.

The spelling of 19836128 in words is "nineteen million, eight hundred thirty-six thousand, one hundred twenty-eight".