366000 has 80 divisors (see below), whose sum is σ = 1199328. Its totient is φ = 96000.

The previous prime is 365983. The next prime is 366001. The reversal of 366000 is 663.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (366001) by changing a digit.

366000 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 15 ways as a sum of consecutive naturals, for example, 5970 + ... + 6030.

2³⁶⁶⁰⁰⁰ is an apocalyptic number.

366000 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 366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599664).

366000 is an abundant number, since it is smaller than the sum of its proper divisors (833328).

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

366000 is a wasteful number, since it uses less digits than its factorization.

366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 366000 is about 604.9793384902. The cubic root of 366000 is about 71.5309009504.

Adding to 366000 its reverse (663), we get a palindrome (366663).

It can be divided in two parts, 36 and 6000, that multiplied together give a cube (216000 = 60³).

The spelling of 366000 in words is "three hundred sixty-six thousand".