19887120 has 280 divisors, whose sum is σ = 78066432. Its totient is φ = 4665600.

The previous prime is 19887097. The next prime is 19887121. The reversal of 19887120 is 2178891.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19887121) 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 55 ways as a sum of consecutive naturals, for example, 641505 + ... + 641535.

Almost surely, 2^19887120 is an apocalyptic number.

19887120 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 19887120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39033216).

19887120 is an abundant number, since it is smaller than the sum of its proper divisors (58179312).

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

19887120 is a wasteful number, since it uses less digits than its factorization.

19887120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 19887120 is about 4459.4977295655. The cubic root of 19887120 is about 270.9301254563.

It can be divided in two parts, 198871 and 20, that added together give a palindrome (198891).

The spelling of 19887120 in words is "nineteen million, eight hundred eighty-seven thousand, one hundred twenty".