366120 has 80 divisors (see below), whose sum is σ = 1241460. Its totient is φ = 96768.

The previous prime is 366103. The next prime is 366127. The reversal of 366120 is 21663.

It is a happy number.

366120 is a `hidden beast` number, since 3 + 661 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 311364 + 54756 = 558^2 + 234^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 366093 and 366102.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366120.

It is not an unprimeable number, because it can be changed into a prime (366127) by changing a digit.

366120 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3184 + ... + 3296.

2³⁶⁶¹²⁰ is an apocalyptic number.

366120 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 366120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620730).

366120 is an abundant number, since it is smaller than the sum of its proper divisors (875340).

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

366120 is a wasteful number, since it uses less digits than its factorization.

366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 366120 is about 605.0785073030. The cubic root of 366120 is about 71.5387176810.

Adding to 366120 its reverse (21663), we get a palindrome (387783).

The spelling of 366120 in words is "three hundred sixty-six thousand, one hundred twenty".