367360 has 72 divisors (see below), whose sum is σ = 1030176. Its totient is φ = 122880.

The previous prime is 367357. The next prime is 367369. The reversal of 367360 is 63763.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (367369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8940 + ... + 8980.

It is an arithmetic number, because the mean of its divisors is an integer number (14308).

2³⁶⁷³⁶⁰ 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 367360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515088).

367360 is an abundant number, since it is smaller than the sum of its proper divisors (662816).

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

367360 is an equidigital number, since it uses as much as digits as its factorization.

367360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 367360 is about 606.1023015960. The cubic root of 367360 is about 71.6193907304.

It can be divided in two parts, 367 and 360, that added together give a palindrome (727).

The spelling of 367360 in words is "three hundred sixty-seven thousand, three hundred sixty".