15260 has 24 divisors (see below), whose sum is σ = 36960. Its totient is φ = 5184.

The previous prime is 15259. The next prime is 15263. The reversal of 15260 is 6251.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 15260.

It is not an unprimeable number, because it can be changed into a prime (15263) 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, 86 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1540).

2¹⁵²⁶⁰ is an apocalyptic number.

15260 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 15260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18480).

15260 is an abundant number, since it is smaller than the sum of its proper divisors (21700).

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

15260 is a wasteful number, since it uses less digits than its factorization.

15260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 15260 is about 123.5313725335. The cubic root of 15260 is about 24.8037975454.

Subtracting from 15260 its reverse (6251), we obtain a palindrome (9009).

It can be divided in two parts, 152 and 60, that added together give a palindrome (212).

The spelling of 15260 in words is "fifteen thousand, two hundred sixty".