36663312 has 80 divisors (see below), whose sum is σ = 113960960. Its totient is φ = 9922176.

The previous prime is 36663299. The next prime is 36663313. The reversal of 36663312 is 21336663.

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 36663312.

It is not an unprimeable number, because it can be changed into a prime (36663313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513 + ... + 9255.

It is an arithmetic number, because the mean of its divisors is an integer number (1424512).

Almost surely, 2^36663312 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 36663312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56980480).

36663312 is an abundant number, since it is smaller than the sum of its proper divisors (77297648).

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

36663312 is a wasteful number, since it uses less digits than its factorization.

36663312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5780 (or 5774 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

The square root of 36663312 is about 6055.0236993756. The cubic root of 36663312 is about 332.2083658377.

Adding to 36663312 its reverse (21336663), we get a palindrome (57999975).

The spelling of 36663312 in words is "thirty-six million, six hundred sixty-three thousand, three hundred twelve".