363080 has 32 divisors (see below), whose sum is σ = 847800. Its totient is φ = 139776.

The previous prime is 363067. The next prime is 363119. The reversal of 363080 is 80363.

It can be written as a sum of positive squares in 4 ways, for example, as 174724 + 188356 = 418^2 + 434^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

363080 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, 1004 + ... + 1316.

2³⁶³⁰⁸⁰ 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 363080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423900).

363080 is an abundant number, since it is smaller than the sum of its proper divisors (484720).

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

363080 is a wasteful number, since it uses less digits than its factorization.

363080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 363080 is about 602.5612002112. The cubic root of 363080 is about 71.3401649109.

The spelling of 363080 in words is "three hundred sixty-three thousand, eighty".