633540636 has 96 divisors (see below), whose sum is σ = 1766016000. Its totient is φ = 195778944.

The previous prime is 633540631. The next prime is 633540671. The reversal of 633540636 is 636045336.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 633540636.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633540631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93160 + ... + 99728.

It is an arithmetic number, because the mean of its divisors is an integer number (18396000).

Almost surely, 2^633540636 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 633540636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883008000).

633540636 is an abundant number, since it is smaller than the sum of its proper divisors (1132475364).

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

633540636 is a wasteful number, since it uses less digits than its factorization.

633540636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 633540636 is about 25170.2331336045. The cubic root of 633540636 is about 858.8648426721.

It can be divided in two parts, 6335 and 40636, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 633540636 in words is "six hundred thirty-three million, five hundred forty thousand, six hundred thirty-six".