367120 has 40 divisors (see below), whose sum is σ = 921816. Its totient is φ = 135168.

The previous prime is 367097. The next prime is 367121. The reversal of 367120 is 21763.

367120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2304 + 364816 = 48^2 + 604^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (367121) by changing a digit.

367120 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 864 + ... + 1216.

2³⁶⁷¹²⁰ 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 367120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460908).

367120 is an abundant number, since it is smaller than the sum of its proper divisors (554696).

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

367120 is a wasteful number, since it uses less digits than its factorization.

367120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 367120 is about 605.9042828698. The cubic root of 367120 is about 71.6037907754.

Adding to 367120 its reverse (21763), we get a palindrome (388883).

The spelling of 367120 in words is "three hundred sixty-seven thousand, one hundred twenty".