63947936 has 48 divisors (see below), whose sum is σ = 136279584. Its totient is φ = 29362944.

The previous prime is 63947911. The next prime is 63947941. The reversal of 63947936 is 63974936.

63947936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 144131 + ... + 144573.

It is an arithmetic number, because the mean of its divisors is an integer number (2839158).

Almost surely, 2^63947936 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 63947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68139792).

63947936 is an abundant number, since it is smaller than the sum of its proper divisors (72331648).

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

63947936 is a wasteful number, since it uses less digits than its factorization.

63947936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 805 counting only the distinct ones).

The product of its digits is 734832, while the sum is 47.

The square root of 63947936 is about 7996.7453379484. The cubic root of 63947936 is about 399.8915039075.

Subtracting 63947936 from its reverse (63974936), we obtain a cube (27000 = 30³).

The spelling of 63947936 in words is "sixty-three million, nine hundred forty-seven thousand, nine hundred thirty-six".