19782960 has 80 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 5103360.

The previous prime is 19782953. The next prime is 19782977. The reversal of 19782960 is 6928791.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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, 6111 + ... + 8769.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^19782960 is an apocalyptic number.

19782960 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 19782960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

19782960 is an abundant number, since it is smaller than the sum of its proper divisors (43546320).

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

19782960 is a wasteful number, since it uses less digits than its factorization.

19782960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 19782960 is about 4447.8039525141. The cubic root of 19782960 is about 270.4562929144.

The spelling of 19782960 in words is "nineteen million, seven hundred eighty-two thousand, nine hundred sixty".