918216 has 80 divisors (see below), whose sum is σ = 2795100. Its totient is φ = 279936.

The previous prime is 918209. The next prime is 918223. The reversal of 918216 is 612819.

It is an interprime number because it is at equal distance from previous prime (918209) and next prime (918223).

It can be written as a sum of positive squares in 2 ways, for example, as 910116 + 8100 = 954^2 + 90^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 918216.

It is an unprimeable number.

918216 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 19 ways as a sum of consecutive naturals, for example, 8370 + ... + 8478.

2⁹¹⁸²¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397550).

918216 is an abundant number, since it is smaller than the sum of its proper divisors (1876884).

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

918216 is a wasteful number, since it uses less digits than its factorization.

918216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 127 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 918216 is about 958.2358791028. The cubic root of 918216 is about 97.1959760566.

It can be divided in two parts, 9 and 18216, that added together give a square (18225 = 135²).

The spelling of 918216 in words is "nine hundred eighteen thousand, two hundred sixteen".