19683952 has 40 divisors (see below), whose sum is σ = 40309920. Its totient is φ = 9292800.

The previous prime is 19683947. The next prime is 19683959. The reversal of 19683952 is 25938691.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19683899 and 19683908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19683959) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 32452 + ... + 33052.

It is an arithmetic number, because the mean of its divisors is an integer number (1007748).

Almost surely, 2^19683952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19683952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20154960).

19683952 is an abundant number, since it is smaller than the sum of its proper divisors (20625968).

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

19683952 is a wasteful number, since it uses less digits than its factorization.

19683952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 715 counting only the distinct ones).

The product of its digits is 116640, while the sum is 43.

The square root of 19683952 is about 4436.6600050038. The cubic root of 19683952 is about 270.0043529248.

It can be divided in two parts, 196 and 83952, that added together give a palindrome (84148).

The spelling of 19683952 in words is "nineteen million, six hundred eighty-three thousand, nine hundred fifty-two".