366800 has 60 divisors (see below), whose sum is σ = 1014816. Its totient is φ = 124800.

The previous prime is 366791. The next prime is 366811. The reversal of 366800 is 8663.

366800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

366800 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 11 ways as a sum of consecutive naturals, for example, 2735 + ... + 2865.

2³⁶⁶⁸⁰⁰ is an apocalyptic number.

366800 is the 350-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 366800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507408).

366800 is an abundant number, since it is smaller than the sum of its proper divisors (648016).

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

366800 is a wasteful number, since it uses less digits than its factorization.

366800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 366800 is about 605.6401571891. The cubic root of 366800 is about 71.5829802560.

The spelling of 366800 in words is "three hundred sixty-six thousand, eight hundred".