367968 has 24 divisors (see below), whose sum is σ = 966168. Its totient is φ = 122624.

The previous prime is 367957. The next prime is 368021. The reversal of 367968 is 869763.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is an unprimeable number.

367968 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 3 ways as a sum of consecutive naturals, for example, 1821 + ... + 2012.

It is an arithmetic number, because the mean of its divisors is an integer number (40257).

2³⁶⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

367968 is an abundant number, since it is smaller than the sum of its proper divisors (598200).

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

367968 is a wasteful number, since it uses less digits than its factorization.

367968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3846 (or 3838 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 367968 is about 606.6036597318. The cubic root of 367968 is about 71.6588802309.

The spelling of 367968 in words is "three hundred sixty-seven thousand, nine hundred sixty-eight".