268461 has 16 divisors (see below), whose sum is σ = 406720. Its totient is φ = 174960.

The previous prime is 268459. The next prime is 268487. The reversal of 268461 is 164862.

It is not a de Polignac number, because 268461 - 2¹ = 268459 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

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 268461.

It is not an unprimeable number, because it can be changed into a prime (268661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1566 + ... + 1728.

It is an arithmetic number, because the mean of its divisors is an integer number (25420).

2²⁶⁸⁴⁶¹ is an apocalyptic number.

It is an amenable number.

268461 is a deficient number, since it is larger than the sum of its proper divisors (138259).

268461 is a wasteful number, since it uses less digits than its factorization.

268461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 268461 is about 518.1322225070. The cubic root of 268461 is about 64.5100038567.

It can be divided in two parts, 268 and 461, that added together give a 6-th power (729 = 3⁶).

The spelling of 268461 in words is "two hundred sixty-eight thousand, four hundred sixty-one".