19781952 has 56 divisors (see below), whose sum is σ = 52706016. Its totient is φ = 6547968.

The previous prime is 19781891. The next prime is 19781953. The reversal of 19781952 is 25918791.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19781953) 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, 37563 + ... + 38085.

Almost surely, 2^19781952 is an apocalyptic number.

19781952 is a gapful number since it is divisible by the number (12) 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 19781952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26353008).

19781952 is an abundant number, since it is smaller than the sum of its proper divisors (32924064).

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

19781952 is a wasteful number, since it uses less digits than its factorization.

19781952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 19781952 is about 4447.6906367237. The cubic root of 19781952 is about 270.4516993219.

The spelling of 19781952 in words is "nineteen million, seven hundred eighty-one thousand, nine hundred fifty-two".