19888000 has 128 divisors (see below), whose sum is σ = 54419040. Its totient is φ = 7168000.

The previous prime is 19887979. The next prime is 19888021. The reversal of 19888000 is 88891.

It is an interprime number because it is at equal distance from previous prime (19887979) and next prime (19888021).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175944 + ... + 176056.

Almost surely, 2^19888000 is an apocalyptic number.

19888000 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 19888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

19888000 is an abundant number, since it is smaller than the sum of its proper divisors (34531040).

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

19888000 is a wasteful number, since it uses less digits than its factorization.

19888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 34.

The square root of 19888000 is about 4459.5963942940. The cubic root of 19888000 is about 270.9341215937.

The spelling of 19888000 in words is "nineteen million, eight hundred eighty-eight thousand".