15268 has 12 divisors (see below), whose sum is σ = 29232. Its totient is φ = 6920.

The previous prime is 15263. The next prime is 15269. The reversal of 15268 is 86251.

It is a happy number.

It is a super-2 number, since 2×15268² = 466223648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a plaindrome in base 15.

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 3 ways as a sum of consecutive naturals, for example, 130 + ... + 217.

It is an arithmetic number, because the mean of its divisors is an integer number (2436).

2¹⁵²⁶⁸ is an apocalyptic number.

It is an amenable number.

15268 is a deficient number, since it is larger than the sum of its proper divisors (13964).

15268 is a wasteful number, since it uses less digits than its factorization.

15268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 15268 is about 123.5637487291. The cubic root of 15268 is about 24.8081312220.

The spelling of 15268 in words is "fifteen thousand, two hundred sixty-eight".