366180 has 48 divisors (see below), whose sum is σ = 1088640. Its totient is φ = 91648.

The previous prime is 366173. The next prime is 366181. The reversal of 366180 is 81663.

366180 = T₁₉₉ + T₂₀₀ + ... + T₂₁₅.

It is a self number, because there is not a number n which added to its sum of digits gives 366180.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366180.

It is not an unprimeable number, because it can be changed into a prime (366181) 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, 841 + ... + 1199.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2³⁶⁶¹⁸⁰ is an apocalyptic number.

366180 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544320).

366180 is an abundant number, since it is smaller than the sum of its proper divisors (722460).

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

366180 is a wasteful number, since it uses less digits than its factorization.

366180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 366180 is about 605.1280856149. The cubic root of 366180 is about 71.5426254058.

It can be divided in two parts, 3661 and 80, that added together give a triangular number (3741 = T₈₆).

The spelling of 366180 in words is "three hundred sixty-six thousand, one hundred eighty".