19785920 has 168 divisors, whose sum is σ = 59996832. Its totient is φ = 6082560.

The previous prime is 19785901. The next prime is 19785949. The reversal of 19785920 is 2958791.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 271004 + ... + 271076.

It is an arithmetic number, because the mean of its divisors is an integer number (357124).

Almost surely, 2^19785920 is an apocalyptic number.

19785920 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 19785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998416).

19785920 is an abundant number, since it is smaller than the sum of its proper divisors (40210912).

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

19785920 is a wasteful number, since it uses less digits than its factorization.

19785920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 19785920 is about 4448.1366885472. The cubic root of 19785920 is about 270.4697811336.

The spelling of 19785920 in words is "nineteen million, seven hundred eighty-five thousand, nine hundred twenty".