367536 has 80 divisors (see below), whose sum is σ = 1111040. Its totient is φ = 103680.

The previous prime is 367531. The next prime is 367541. The reversal of 367536 is 635763.

It is an interprime number because it is at equal distance from previous prime (367531) and next prime (367541).

It is a super-2 number, since 2×367536² = 270165422592, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 367536.

It is not an unprimeable number, because it can be changed into a prime (367531) 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, 11841 + ... + 11871.

It is an arithmetic number, because the mean of its divisors is an integer number (13888).

2³⁶⁷⁵³⁶ 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 367536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555520).

367536 is an abundant number, since it is smaller than the sum of its proper divisors (743504).

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

367536 is a wasteful number, since it uses less digits than its factorization.

367536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 68 counting only the distinct ones).

The product of its digits is 11340, while the sum is 30.

The square root of 367536 is about 606.2474742215. The cubic root of 367536 is about 71.6308263796.

It can be divided in two parts, 367 and 536, that added together give a triangular number (903 = T₄₂).

The spelling of 367536 in words is "three hundred sixty-seven thousand, five hundred thirty-six".