268515 has 48 divisors (see below), whose sum is σ = 550368. Its totient is φ = 124416.

The previous prime is 268507. The next prime is 268517. The reversal of 268515 is 515862.

It is not a de Polignac number, because 268515 - 2³ = 268507 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (2400) is a multiple of the sum of its prime factors (50).

It is not an unprimeable number, because it can be changed into a prime (268517) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15787 + ... + 15803.

It is an arithmetic number, because the mean of its divisors is an integer number (11466).

2²⁶⁸⁵¹⁵ is an apocalyptic number.

268515 is an abundant number, since it is smaller than the sum of its proper divisors (281853).

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

268515 is a wasteful number, since it uses less digits than its factorization.

268515 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 38 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 268515 is about 518.1843301375. The cubic root of 268515 is about 64.5143288879.

The spelling of 268515 in words is "two hundred sixty-eight thousand, five hundred fifteen".