367686 has 32 divisors (see below), whose sum is σ = 892800. Its totient is φ = 111240.

The previous prime is 367673. The next prime is 367687. The reversal of 367686 is 686763.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 367686.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285 + ... + 903.

It is an arithmetic number, because the mean of its divisors is an integer number (27900).

2³⁶⁷⁶⁸⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446400).

367686 is an abundant number, since it is smaller than the sum of its proper divisors (525114).

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

367686 is a wasteful number, since it uses less digits than its factorization.

367686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 635 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 367686 is about 606.3711734573. The cubic root of 367686 is about 71.6405697903.

The spelling of 367686 in words is "three hundred sixty-seven thousand, six hundred eighty-six".