19683936 has 72 divisors (see below), whose sum is σ = 57375864. Its totient is φ = 6397440.

The previous prime is 19683913. The next prime is 19683941. The reversal of 19683936 is 63938691.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 19683891 and 19683900.

It is a congruent number.

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, 10975 + ... + 12641.

It is an arithmetic number, because the mean of its divisors is an integer number (796887).

Almost surely, 2^19683936 is an apocalyptic number.

19683936 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 19683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28687932).

19683936 is an abundant number, since it is smaller than the sum of its proper divisors (37691928).

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

19683936 is a wasteful number, since it uses less digits than its factorization.

19683936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 1713 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 19683936 is about 4436.6582018452. The cubic root of 19683936 is about 270.0042797676.

The spelling of 19683936 in words is "nineteen million, six hundred eighty-three thousand, nine hundred thirty-six".