268645 has 8 divisors (see below), whose sum is σ = 347256. Its totient is φ = 198336.

The previous prime is 268643. The next prime is 268661. The reversal of 268645 is 546862.

268645 = 366² + 367².

It can be written as a sum of positive squares in 4 ways, for example, as 16641 + 252004 = 129^2 + 502^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 268645 - 2¹ = 268643 is a prime.

268645 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2002 + ... + 2131.

It is an arithmetic number, because the mean of its divisors is an integer number (43407).

2²⁶⁸⁶⁴⁵ is an apocalyptic number.

268645 is the 367-th centered square number.

It is an amenable number.

268645 is a deficient number, since it is larger than the sum of its proper divisors (78611).

268645 is a wasteful number, since it uses less digits than its factorization.

268645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4151.

The product of its digits is 11520, while the sum is 31.

The square root of 268645 is about 518.3097529470. The cubic root of 268645 is about 64.5247386225.

The spelling of 268645 in words is "two hundred sixty-eight thousand, six hundred forty-five".