633641320 has 64 divisors (see below), whose sum is σ = 1538565840. Its totient is φ = 233472000.

The previous prime is 633641291. The next prime is 633641321. The reversal of 633641320 is 23146336.

It can be written as a sum of positive squares in 8 ways, for example, as 149377284 + 484264036 = 12222^2 + 22006^2 .

It is a super-2 number, since 2×633641320² = 803002644822684800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (633641321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 332370 + ... + 334270.

Almost surely, 2^633641320 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 633641320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769282920).

633641320 is an abundant number, since it is smaller than the sum of its proper divisors (904924520).

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

633641320 is a wasteful number, since it uses less digits than its factorization.

633641320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2566 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 633641320 is about 25172.2331150814. The cubic root of 633641320 is about 858.9103379739.

Adding to 633641320 its reverse (23146336), we get a palindrome (656787656).

The spelling of 633641320 in words is "six hundred thirty-three million, six hundred forty-one thousand, three hundred twenty".