366912 has 126 divisors (see below), whose sum is σ = 1317498. Its totient is φ = 96768.

The previous prime is 366907. The next prime is 366917. The reversal of 366912 is 219663.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (366907) and next prime (366917).

It can be written as a sum of positive squares in only one way, i.e., 254016 + 112896 = 504^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 366912.

It is not an unprimeable number, because it can be changed into a prime (366917) by changing a digit.

366912 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 17 ways as a sum of consecutive naturals, for example, 28218 + ... + 28230.

366912 is a Friedman number, since it can be written as 91*63*2^6, using all its digits and the basic arithmetic operations.

2³⁶⁶⁹¹² is an apocalyptic number.

366912 is a gapful number since it is divisible by the number (32) 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 366912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658749).

366912 is an abundant number, since it is smaller than the sum of its proper divisors (950586).

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

366912 is a wasteful number, since it uses less digits than its factorization.

366912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 25 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 366912 is about 605.7326142780. The cubic root of 366912 is about 71.5902653141.

It can be divided in two parts, 36 and 6912, that multiplied together give a 5-th power (248832 = 12⁵).

The spelling of 366912 in words is "three hundred sixty-six thousand, nine hundred twelve".