19993952 has 48 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 8960640.

The previous prime is 19993951. The next prime is 19993997. The reversal of 19993952 is 25939991.

It is a junction number, because it is equal to n+sod(n) for n = 19993897 and 19993906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19993951) 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, 27449 + ... + 28167.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 2^19993952 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 19993952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

19993952 is an abundant number, since it is smaller than the sum of its proper divisors (23551648).

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

19993952 is a wasteful number, since it uses less digits than its factorization.

19993952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 811 counting only the distinct ones).

The product of its digits is 196830, while the sum is 47.

The square root of 19993952 is about 4471.4597169157. The cubic root of 19993952 is about 271.4143975714.

It can be divided in two parts, 199939 and 52, that added together give a palindrome (199991).

The spelling of 19993952 in words is "nineteen million, nine hundred ninety-three thousand, nine hundred fifty-two".