15340 has 24 divisors (see below), whose sum is σ = 35280. Its totient is φ = 5568.

The previous prime is 15331. The next prime is 15349. The reversal of 15340 is 4351.

It is an interprime number because it is at equal distance from previous prime (15331) and next prime (15349).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 15340.

It is not an unprimeable number, because it can be changed into a prime (15349) by changing a digit.

15340 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231 + ... + 289.

It is an arithmetic number, because the mean of its divisors is an integer number (1470).

2¹⁵³⁴⁰ is an apocalyptic number.

15340 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 15340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17640).

15340 is an abundant number, since it is smaller than the sum of its proper divisors (19940).

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

15340 is a wasteful number, since it uses less digits than its factorization.

15340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 15340 is about 123.8547536431. The cubic root of 15340 is about 24.8470663598.

Adding to 15340 its product of nonzero digits (60), we get a triangular number (15400 = T₁₇₅).

Adding to 15340 its reverse (4351), we get a palindrome (19691).

The spelling of 15340 in words is "fifteen thousand, three hundred forty".