636233040 has 120 divisors (see below), whose sum is σ = 2141816040. Its totient is φ = 169254912.

The previous prime is 636232981. The next prime is 636233047. The reversal of 636233040 is 40332636.

636233040 is a `hidden beast` number, since 6 + 3 + 623 + 30 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5419584 + 630813456 = 2328^2 + 25116^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 636232995 and 636233013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (636233047) 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 23 ways as a sum of consecutive naturals, for example, 408904 + ... + 410456.

It is an arithmetic number, because the mean of its divisors is an integer number (17848467).

Almost surely, 2^636233040 is an apocalyptic number.

636233040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 636233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070908020).

636233040 is an abundant number, since it is smaller than the sum of its proper divisors (1505583000).

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

636233040 is a wasteful number, since it uses less digits than its factorization.

636233040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2141 (or 2132 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 636233040 is about 25223.6603212143. The cubic root of 636233040 is about 860.0797834761.

Adding to 636233040 its reverse (40332636), we get a palindrome (676565676).

The spelling of 636233040 in words is "six hundred thirty-six million, two hundred thirty-three thousand, forty".