633316420 has 96 divisors (see below), whose sum is σ = 1504734336. Its totient is φ = 223724160.

The previous prime is 633316403. The next prime is 633316421. The reversal of 633316420 is 24613336.

633316420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (633316421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984619 + ... + 985261.

It is an arithmetic number, because the mean of its divisors is an integer number (15674316).

Almost surely, 2^633316420 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 633316420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752367168).

633316420 is an abundant number, since it is smaller than the sum of its proper divisors (871417916).

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

633316420 is a wasteful number, since it uses less digits than its factorization.

633316420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 698 counting only the distinct ones).

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

The square root of 633316420 is about 25165.7787481333. The cubic root of 633316420 is about 858.7635105971.

Adding to 633316420 its reverse (24613336), we get a palindrome (657929756).

It can be divided in two parts, 63331 and 6420, that added together give a triangular number (69751 = T₃₇₃).

The spelling of 633316420 in words is "six hundred thirty-three million, three hundred sixteen thousand, four hundred twenty".