19240 has 32 divisors (see below), whose sum is σ = 47880. Its totient is φ = 6912.

The previous prime is 19237. The next prime is 19249. The reversal of 19240 is 4291.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 3364 = 126^2 + 58^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19249) 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, 502 + ... + 538.

2¹⁹²⁴⁰ is an apocalyptic number.

19240 is a gapful number since it is divisible by the number (10) 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 19240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940).

19240 is an abundant number, since it is smaller than the sum of its proper divisors (28640).

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

19240 is a wasteful number, since it uses less digits than its factorization.

19240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 19240 is about 138.7083270752. The cubic root of 19240 is about 26.7959004645.

Multiplying 19240 by its product of nonzero digits (72), we get a triangular number (1385280 = T₁₆₆₄).

It can be divided in two parts, 192 and 40, that added together give a palindrome (232).

The spelling of 19240 in words is "nineteen thousand, two hundred forty".