63991648 has 72 divisors (see below), whose sum is σ = 150649632. Its totient is φ = 26659584.

The previous prime is 63991643. The next prime is 63991649. The reversal of 63991648 is 84619936.

63991648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 63991598 and 63991607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63991643) 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 11 ways as a sum of consecutive naturals, for example, 57465 + ... + 58567.

It is an arithmetic number, because the mean of its divisors is an integer number (2092356).

Almost surely, 2^63991648 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 63991648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75324816).

63991648 is an abundant number, since it is smaller than the sum of its proper divisors (86657984).

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

63991648 is a wasteful number, since it uses less digits than its factorization.

63991648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1149 counting only the distinct ones).

The product of its digits is 279936, while the sum is 46.

The square root of 63991648 is about 7999.4779829686. The cubic root of 63991648 is about 399.9825992430.

The spelling of 63991648 in words is "sixty-three million, nine hundred ninety-one thousand, six hundred forty-eight".