63956448 has 72 divisors (see below), whose sum is σ = 192589488. Its totient is φ = 20063232.

The previous prime is 63956447. The next prime is 63956467. The reversal of 63956448 is 84465936.

63956448 is a `hidden beast` number, since 639 + 5 + 6 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63956447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1636 + ... + 11427.

It is an arithmetic number, because the mean of its divisors is an integer number (2674854).

Almost surely, 2^63956448 is an apocalyptic number.

63956448 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63956448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96294744).

63956448 is an abundant number, since it is smaller than the sum of its proper divisors (128633040).

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

63956448 is a wasteful number, since it uses less digits than its factorization.

63956448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13085 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 63956448 is about 7997.2775367621. The cubic root of 63956448 is about 399.9092460775.

The spelling of 63956448 in words is "sixty-three million, nine hundred fifty-six thousand, four hundred forty-eight".