15940 has 12 divisors (see below), whose sum is σ = 33516. Its totient is φ = 6368.

The previous prime is 15937. The next prime is 15959. The reversal of 15940 is 4951.

15940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 6724 + 9216 = 82^2 + 96^2 .

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 379 + ... + 418.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2¹⁵⁹⁴⁰ is an apocalyptic number.

15940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15940 is an abundant number, since it is smaller than the sum of its proper divisors (17576).

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 (16758).

15940 is a wasteful number, since it uses less digits than its factorization.

15940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 15940 is about 126.2537128167. The cubic root of 15940 is about 25.1668835169.

The spelling of 15940 in words is "fifteen thousand, nine hundred forty".