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 can be divided in two parts, 36 and 6912, that multiplied together give a 5-th power (248832 = 12^{5}).

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.

2^{366912} 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.

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

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 49 52 56 63 64 72 78 84 91 96 98 104 112 117 126 144 147 156 168 182 192 196 208 224 234 252 273 288 294 312 336 364 392 416 441 448 468 504 546 576 588 624 637 672 728 784 819 832 882 936 1008 1092 1176 1248 1274 1344 1456 1568 1638 1764 1872 1911 2016 2184 2352 2496 2548 2912 3136 3276 3528 3744 3822 4032 4368 4704 5096 5733 5824 6552 7056 7488 7644 8736 9408 10192 11466 13104 14112 15288 17472 20384 22932 26208 28224 30576 40768 45864 52416 61152 91728 122304 183456 366912

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