63297936 has 225 divisors, whose sum is σ = 210734931. Its totient is φ = 18330624.

The previous prime is 63297917. The next prime is 63297937. The reversal of 63297936 is 63979236.

The square root of 63297936 is 7956.

It is a perfect power (a square), and thus also a powerful number.

63297936 is a `hidden beast` number, since 632 + 9 + 7 + 9 + 3 + 6 = 666.

63297936 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 4 ways, for example, as 571536 + 62726400 = 756^2 + 7920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 63297891 and 63297900.

It is not an unprimeable number, because it can be changed into a prime (63297937) 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 44 ways as a sum of consecutive naturals, for example, 3723400 + ... + 3723416.

Almost surely, 2^63297936 is an apocalyptic number.

63297936 is the 7956-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63297936

63297936 is an abundant number, since it is smaller than the sum of its proper divisors (147436995).

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

63297936 is a wasteful number, since it uses less digits than its factorization.

63297936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 35 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The cubic root of 63297936 is about 398.5319855919.

The spelling of 63297936 in words is "sixty-three million, two hundred ninety-seven thousand, nine hundred thirty-six".