36268224 has 56 divisors (see below), whose sum is σ = 96895920. Its totient is φ = 11971584.

The previous prime is 36268223. The next prime is 36268229. The reversal of 36268224 is 42286263.

It is a super-2 number, since 2×36268224² = 2630768144228352, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (36268223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20062 + ... + 21794.

Almost surely, 2^36268224 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 36268224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48447960).

36268224 is an abundant number, since it is smaller than the sum of its proper divisors (60627696).

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

36268224 is a wasteful number, since it uses less digits than its factorization.

36268224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1847 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 36268224 is about 6022.3105200579. The cubic root of 36268224 is about 331.0107486097.

It can be divided in two parts, 362 and 68224, that added together give a palindrome (68586).

The spelling of 36268224 in words is "thirty-six million, two hundred sixty-eight thousand, two hundred twenty-four".