63984816 has 120 divisors (see below), whose sum is σ = 212319744. Its totient is φ = 18273600.

The previous prime is 63984797. The next prime is 63984839. The reversal of 63984816 is 61848936.

63984816 is a `hidden beast` number, since 639 + 8 + 4 + 8 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26041 + ... + 28391.

Almost surely, 2^63984816 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 63984816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106159872).

63984816 is an abundant number, since it is smaller than the sum of its proper divisors (148334928).

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

63984816 is a wasteful number, since it uses less digits than its factorization.

63984816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2363 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 63984816 is about 7999.0509437058. The cubic root of 63984816 is about 399.9683641647.

The spelling of 63984816 in words is "sixty-three million, nine hundred eighty-four thousand, eight hundred sixteen".