367268 has 24 divisors (see below), whose sum is σ = 743904. Its totient is φ = 156800.

The previous prime is 367261. The next prime is 367273. The reversal of 367268 is 862763.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367268.

It is not an unprimeable number, because it can be changed into a prime (367261) by changing a digit.

367268 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 7 ways as a sum of consecutive naturals, for example, 503 + ... + 993.

It is an arithmetic number, because the mean of its divisors is an integer number (30996).

2³⁶⁷²⁶⁸ is an apocalyptic number.

It is an amenable number.

367268 is an abundant number, since it is smaller than the sum of its proper divisors (376636).

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

367268 is a wasteful number, since it uses less digits than its factorization.

367268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 521 counting only the distinct ones).

The product of its digits is 12096, while the sum is 32.

The square root of 367268 is about 606.0264020651. The cubic root of 367268 is about 71.6134115509.

Subtracting from 367268 its sum of digits (32), we obtain a square (367236 = 606²).

The spelling of 367268 in words is "three hundred sixty-seven thousand, two hundred sixty-eight".