268541 has 12 divisors (see below), whose sum is σ = 333792. Its totient is φ = 211536.

The previous prime is 268537. The next prime is 268547. The reversal of 268541 is 145862.

It is not a de Polignac number, because 268541 - 2² = 268537 is a prime.

It is a super-2 number, since 2×268541² = 144228537362, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 268541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268547) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1070 + ... + 1296.

It is an arithmetic number, because the mean of its divisors is an integer number (27816).

2²⁶⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

268541 is a deficient number, since it is larger than the sum of its proper divisors (65251).

268541 is a wasteful number, since it uses less digits than its factorization.

268541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 268541 is about 518.2094171279. The cubic root of 268541 is about 64.5164111036.

The spelling of 268541 in words is "two hundred sixty-eight thousand, five hundred forty-one".