366880 has 24 divisors (see below), whose sum is σ = 867132. Its totient is φ = 146688.

The previous prime is 366869. The next prime is 366881. The reversal of 366880 is 88663.

366880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 355216 + 11664 = 596^2 + 108^2 .

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (366881) by changing a digit.

366880 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 3 ways as a sum of consecutive naturals, for example, 987 + ... + 1306.

2³⁶⁶⁸⁸⁰ is an apocalyptic number.

It is an amenable number.

366880 is an abundant number, since it is smaller than the sum of its proper divisors (500252).

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

366880 is a wasteful number, since it uses less digits than its factorization.

366880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308 (or 2300 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 366880 is about 605.7061994069. The cubic root of 366880 is about 71.5881840202.

The spelling of 366880 in words is "three hundred sixty-six thousand, eight hundred eighty".