19982160 has 240 divisors, whose sum is σ = 77762880. Its totient is φ = 4677120.

The previous prime is 19982159. The next prime is 19982161. The reversal of 19982160 is 6128991.

Added to its reverse (6128991) it gives a triangular number (26111151 = T₇₂₂₆).

It is an interprime number because it is at equal distance from previous prime (19982159) and next prime (19982161).

It is a tau number, because it is divible by the number of its divisors (240).

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 (19982161) 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, 689026 + ... + 689054.

It is an arithmetic number, because the mean of its divisors is an integer number (324012).

Almost surely, 2^19982160 is an apocalyptic number.

19982160 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 19982160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38881440).

19982160 is an abundant number, since it is smaller than the sum of its proper divisors (57780720).

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

19982160 is a wasteful number, since it uses less digits than its factorization.

19982160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19982160 is about 4470.1409373755. The cubic root of 19982160 is about 271.3610289664.

Adding to 19982160 its reverse (6128991), we get a triangular number (26111151 = T₇₂₂₆).

The spelling of 19982160 in words is "nineteen million, nine hundred eighty-two thousand, one hundred sixty".