268362 has 24 divisors (see below), whose sum is σ = 616356. Its totient is φ = 84096.

The previous prime is 268343. The next prime is 268403. The reversal of 268362 is 263862.

It can be written as a sum of positive squares in 2 ways, for example, as 239121 + 29241 = 489^2 + 171^2 .

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 268362.

It is an unprimeable number.

268362 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 744.

2²⁶⁸³⁶² is an apocalyptic number.

268362 is an abundant number, since it is smaller than the sum of its proper divisors (347994).

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

268362 is a wasteful number, since it uses less digits than its factorization.

268362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 899 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 268362 is about 518.0366782381. The cubic root of 268362 is about 64.5020731261.

It can be divided in two parts, 268 and 362, that added together give a triangular number (630 = T₃₅).

The spelling of 268362 in words is "two hundred sixty-eight thousand, three hundred sixty-two".