63300040 has 64 divisors (see below), whose sum is σ = 148618800. Its totient is φ = 24235008.

The previous prime is 63300037. The next prime is 63300049. The reversal of 63300040 is 4000336.

It is a happy number.

63300040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 36942084 + 26357956 = 6078^2 + 5134^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63299987 and 63300023.

It is not an unprimeable number, because it can be changed into a prime (63300049) 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, 228382 + ... + 228658.

Almost surely, 2^63300040 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 63300040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74309400).

63300040 is an abundant number, since it is smaller than the sum of its proper divisors (85318760).

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

63300040 is a wasteful number, since it uses less digits than its factorization.

63300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 63300040 is about 7956.1322261511. The cubic root of 63300040 is about 398.5364012283.

Adding to 63300040 its reverse (4000336), we get a palindrome (67300376).

The spelling of 63300040 in words is "sixty-three million, three hundred thousand, forty".