363580 has 48 divisors (see below), whose sum is σ = 907200. Its totient is φ = 122304.

The previous prime is 363577. The next prime is 363581. The reversal of 363580 is 85363.

363580 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363581) 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, 6834 + ... + 6886.

It is an arithmetic number, because the mean of its divisors is an integer number (18900).

2³⁶³⁵⁸⁰ 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 363580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453600).

363580 is an abundant number, since it is smaller than the sum of its proper divisors (543620).

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

363580 is a wasteful number, since it uses less digits than its factorization.

363580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 363580 is about 602.9759530860. The cubic root of 363580 is about 71.3728975696.

The spelling of 363580 in words is "three hundred sixty-three thousand, five hundred eighty".