268512 has 24 divisors (see below), whose sum is σ = 705096. Its totient is φ = 89472.

The previous prime is 268507. The next prime is 268517. The reversal of 268512 is 215862.

268512 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (268507) and next prime (268517).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 1303 + ... + 1494.

It is an arithmetic number, because the mean of its divisors is an integer number (29379).

2²⁶⁸⁵¹² is an apocalyptic number.

It is an amenable number.

268512 is an abundant number, since it is smaller than the sum of its proper divisors (436584).

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

268512 is a wasteful number, since it uses less digits than its factorization.

268512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2802 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 268512 is about 518.1814354066. The cubic root of 268512 is about 64.5140886236.

Subtracting from 268512 its reverse (215862), we obtain a triangular number (52650 = T₃₂₄).

It can be divided in two parts, 268 and 512, that added together give a triangular number (780 = T₃₉).

The spelling of 268512 in words is "two hundred sixty-eight thousand, five hundred twelve".