19040 has 48 divisors (see below), whose sum is σ = 54432. Its totient is φ = 6144.

The previous prime is 19037. The next prime is 19051. The reversal of 19040 is 4091.

19040 = T₁₅ + T₁₆ + ... + T₄₈.

19040 is nontrivially palindromic in base 13 and base 15.

It is a Harshad number since it is a multiple of its sum of digits (14).

19040 is a nontrivial repdigit in base 13.

It is a plaindrome in base 11 and base 13.

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112 + ... + 1128.

It is an arithmetic number, because the mean of its divisors is an integer number (1134).

2¹⁹⁰⁴⁰ is an apocalyptic number.

19040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19040 is the 80-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216).

19040 is an abundant number, since it is smaller than the sum of its proper divisors (35392).

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

19040 is a wasteful number, since it uses less digits than its factorization.

19040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 19040 is about 137.9855064853. The cubic root of 19040 is about 26.7027289874.

The spelling of 19040 in words is "nineteen thousand, forty".