362268 has 36 divisors (see below), whose sum is σ = 950040. Its totient is φ = 116256.

The previous prime is 362237. The next prime is 362281. The reversal of 362268 is 862263.

It is a tau number, because it is divible by the number of its divisors (36).

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 362268.

It is an unprimeable number.

362268 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, 871 + ... + 1217.

It is an arithmetic number, because the mean of its divisors is an integer number (26390).

2³⁶²²⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 362268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475020).

362268 is an abundant number, since it is smaller than the sum of its proper divisors (587772).

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

362268 is a wasteful number, since it uses less digits than its factorization.

362268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 381 counting only the distinct ones).

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

The square root of 362268 is about 601.8870325900. The cubic root of 362268 is about 71.2869429840.

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

The spelling of 362268 in words is "three hundred sixty-two thousand, two hundred sixty-eight".