367836 has 48 divisors (see below), whose sum is σ = 1021440. Its totient is φ = 100800.

The previous prime is 367831. The next prime is 367841. The reversal of 367836 is 638763.

It is a happy number.

367836 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (367831) and next prime (367841).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 367797 and 367806.

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 367836.

It is not an unprimeable number, because it can be changed into a prime (367831) by changing a digit.

367836 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2361 + ... + 2511.

It is an arithmetic number, because the mean of its divisors is an integer number (21280).

2³⁶⁷⁸³⁶ 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 367836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510720).

367836 is an abundant number, since it is smaller than the sum of its proper divisors (653604).

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

367836 is a wasteful number, since it uses less digits than its factorization.

367836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 192 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 367836 is about 606.4948474637. The cubic root of 367836 is about 71.6503105514.

The spelling of 367836 in words is "three hundred sixty-seven thousand, eight hundred thirty-six".