19785216 has 80 divisors (see below), whose sum is σ = 57549888. Its totient is φ = 5990400.

The previous prime is 19785211. The next prime is 19785253. The reversal of 19785216 is 61258791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19785211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16311 + ... + 17481.

Almost surely, 2^19785216 is an apocalyptic number.

19785216 is a gapful number since it is divisible by the number (16) 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 19785216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28774944).

19785216 is an abundant number, since it is smaller than the sum of its proper divisors (37764672).

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

19785216 is a wasteful number, since it uses less digits than its factorization.

19785216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1187 counting only the distinct ones).

The product of its digits is 30240, while the sum is 39.

The square root of 19785216 is about 4448.0575535845. The cubic root of 19785216 is about 270.4665732467.

The spelling of 19785216 in words is "nineteen million, seven hundred eighty-five thousand, two hundred sixteen".