19863216 has 60 divisors (see below), whose sum is σ = 55904160. Its totient is φ = 6583680.

The previous prime is 19863209. The next prime is 19863257. The reversal of 19863216 is 61236891.

19863216 is a `hidden beast` number, since 1 + 9 + 8 + 632 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38770 + ... + 39278.

It is an arithmetic number, because the mean of its divisors is an integer number (931736).

Almost surely, 2^19863216 is an apocalyptic number.

19863216 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 19863216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27952080).

19863216 is an abundant number, since it is smaller than the sum of its proper divisors (36040944).

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

19863216 is a wasteful number, since it uses less digits than its factorization.

19863216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 785 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 19863216 is about 4456.8168012607. The cubic root of 19863216 is about 270.8215307099.

The spelling of 19863216 in words is "nineteen million, eight hundred sixty-three thousand, two hundred sixteen".