633541540 has 48 divisors (see below), whose sum is σ = 1379851200. Its totient is φ = 244049792.

The previous prime is 633541507. The next prime is 633541541. The reversal of 633541540 is 45145336.

It is not an unprimeable number, because it can be changed into a prime (633541541) 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, 269691 + ... + 272029.

It is an arithmetic number, because the mean of its divisors is an integer number (28746900).

Almost surely, 2^633541540 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 633541540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689925600).

633541540 is an abundant number, since it is smaller than the sum of its proper divisors (746309660).

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

633541540 is a wasteful number, since it uses less digits than its factorization.

633541540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2844 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 633541540 is about 25170.2510913181. The cubic root of 633541540 is about 858.8652511770.

Adding to 633541540 its reverse (45145336), we get a palindrome (678686876).

The spelling of 633541540 in words is "six hundred thirty-three million, five hundred forty-one thousand, five hundred forty".