63633312 has 144 divisors (see below), whose sum is σ = 196894152. Its totient is φ = 19415040.

The previous prime is 63633301. The next prime is 63633313. The reversal of 63633312 is 21333636.

It can be written as a sum of positive squares in 4 ways, for example, as 30869136 + 32764176 = 5556^2 + 5724^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (63633313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200578 + ... + 200894.

Almost surely, 2^63633312 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 63633312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98447076).

63633312 is an abundant number, since it is smaller than the sum of its proper divisors (133260840).

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

63633312 is a wasteful number, since it uses less digits than its factorization.

63633312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 380 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

The square root of 63633312 is about 7977.0490784500. The cubic root of 63633312 is about 399.2346030195.

Adding to 63633312 its reverse (21333636), we get a palindrome (84966948).

It can be divided in two parts, 63 and 633312, that added together give a triangular number (633375 = T₁₁₂₅).

The spelling of 63633312 in words is "sixty-three million, six hundred thirty-three thousand, three hundred twelve".