19940 has 12 divisors (see below), whose sum is σ = 41916. Its totient is φ = 7968.

The previous prime is 19937. The next prime is 19949. The reversal of 19940 is 4991.

It can be written as a sum of positive squares in 2 ways, for example, as 12544 + 7396 = 112^2 + 86^2 .

It is not an unprimeable number, because it can be changed into a prime (19949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 479 + ... + 518.

It is an arithmetic number, because the mean of its divisors is an integer number (3493).

2¹⁹⁹⁴⁰ is an apocalyptic number.

19940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19940 is an abundant number, since it is smaller than the sum of its proper divisors (21976).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20958).

19940 is a wasteful number, since it uses less digits than its factorization.

19940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 19940 is about 141.2090648648. The cubic root of 19940 is about 27.1170048003.

It can be divided in two parts, 19 and 940, that added together give a palindrome (959).

The spelling of 19940 in words is "nineteen thousand, nine hundred forty".