19950 has 48 divisors (see below), whose sum is σ = 59520. Its totient is φ = 4320.

The previous prime is 19949. The next prime is 19961. The reversal of 19950 is 5991.

19950 = T₃₆ + T₃₇ + ... + T₅₄.

It is a happy number.

It is a Curzon number.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 19950.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1041 + ... + 1059.

It is an arithmetic number, because the mean of its divisors is an integer number (1240).

2¹⁹⁹⁵⁰ is an apocalyptic number.

19950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29760).

19950 is an abundant number, since it is smaller than the sum of its proper divisors (39570).

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

19950 is a wasteful number, since it uses less digits than its factorization.

19950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 24.

The square root of 19950 is about 141.2444689183. The cubic root of 19950 is about 27.1215371428.

It can be divided in two parts, 19 and 950, that added together give a palindrome (969).

The spelling of 19950 in words is "nineteen thousand, nine hundred fifty".