369216 has 42 divisors (see below), whose sum is σ = 1059942. Its totient is φ = 122880.

The previous prime is 369211. The next prime is 369247. The reversal of 369216 is 612963.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 360000 + 9216 = 600^2 + 96^2 .

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 369216.

It is not an unprimeable number, because it can be changed into a prime (369211) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 256 + ... + 896.

2³⁶⁹²¹⁶ is an apocalyptic number.

369216 is a gapful number since it is divisible by the number (36) 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 369216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529971).

369216 is an abundant number, since it is smaller than the sum of its proper divisors (690726).

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

369216 is a wasteful number, since it uses less digits than its factorization.

369216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 646 counting only the distinct ones).

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

The square root of 369216 is about 607.6314672563. The cubic root of 369216 is about 71.7398015508.

It can be divided in two parts, 369 and 216, that added together give a palindrome (585).

The spelling of 369216 in words is "three hundred sixty-nine thousand, two hundred sixteen".