19782560 has 96 divisors (see below), whose sum is σ = 56609280. Its totient is φ = 6377472.

The previous prime is 19782551. The next prime is 19782563. The reversal of 19782560 is 6528791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19782563) by changing a digit.

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, 18521 + ... + 19559.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^19782560 is an apocalyptic number.

19782560 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 19782560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28304640).

19782560 is an abundant number, since it is smaller than the sum of its proper divisors (36826720).

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

19782560 is a wasteful number, since it uses less digits than its factorization.

19782560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 38.

The square root of 19782560 is about 4447.7589862761. The cubic root of 19782560 is about 270.4544700789.

The spelling of 19782560 in words is "nineteen million, seven hundred eighty-two thousand, five hundred sixty".