362180 has 48 divisors (see below), whose sum is σ = 940800. Its totient is φ = 114048.

The previous prime is 362177. The next prime is 362191. The reversal of 362180 is 81263.

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

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 362180.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1721 + ... + 1919.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2³⁶²¹⁸⁰ 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 362180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

362180 is an abundant number, since it is smaller than the sum of its proper divisors (578620).

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

362180 is a wasteful number, since it uses less digits than its factorization.

362180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 362180 is about 601.8139247309. The cubic root of 362180 is about 71.2811703157.

The spelling of 362180 in words is "three hundred sixty-two thousand, one hundred eighty".